What would be a good way to eliminate atheism?

Yes, Catholics do claim to be the "universal" church.  Muslims pray to the same God.  (And CS Lewis would suggest that the "real" God listens to all prayers that are prayed with good intention, regardless of which "religion" you espouse.)

What I see you missing out on is the understanding of the Trinity and how that affects you.

As for Judaism, Christ's death and resurrection brought a new reality into the world and creation's relationship to God changed as the results of the fall were re-ordered. 

Christ established the new universal church.

Universal Church? So much for the narrow gate and all the counsel by Jesus and the Bible writers, huh?

(Matthew 15:12-14) Then the disciples came and said to him: “Do you know that the Pharisees were stumbled at hearing what you said?” 13 In reply he said: “Every plant that my heavenly Father did not plant will be uprooted. 14 Let them be. Blind guides is what they are. If, then, a blind man guides a blind man, both will fall into a pit.”
(2 Corinthians 6:14-17) Do not become unevenly yoked with unbelievers. For what fellowship do righteousness and lawlessness have? Or what sharing does light have with darkness? 15 Further, what harmony is there between Christ and Beʹli·al? Or what does a believer share in common with an unbeliever? 16 And what agreement does God’s temple have with idols? For we are a temple of a living God; just as God said: “I will reside among them and walk among them, and I will be their God, and they will be my people.” 17 “‘Therefore, get out from among them, and separate yourselves,’ says Jehovah, ‘and quit touching the unclean thing’”; “‘and I will take you in.’”
(Matthew 7:13-20) “Go in through the narrow gate, because broad is the gate and spacious is the road leading off into destruction, and many are going in through it; 14 whereas narrow is the gate and cramped the road leading off into life, and few are finding it. 15 “Be on the watch for the false prophets who come to you in sheep’s covering, but inside they are ravenous wolves. 16 By their fruits you will recognize them. Never do people gather grapes from thorns or figs from thistles, do they? 17 Likewise, every good tree produces fine fruit, but every rotten tree produces worthless fruit. 18 A good tree cannot bear worthless fruit, nor can a rotten tree produce fine fruit. 19 Every tree not producing fine fruit is cut down and thrown into the fire. 20 Really, then, by their fruits you will recognize those men.
(Matthew 23)

My thumbs up is for your first paragraph.

Your second paragraph is like saying to people who are fully content with their coconut water and fresh smoothies that you see them missing out on fizzy cola and how that affects them. They'd tell you that they know very well how cola affects people and they'd advise you to wean yourself from it.

As for your third paragraph, those whose scripture you call the OLD Testament will be standing shoulder to shoulder with those whose scripture has been called the Final Testament, in feeling sorry for you.

If "Christ established the new universal church." then an independent reading of the NT would establish that it wasn't the Christ featured in the Gospels therein.

That's true, Baba, but it depends on a very specific definition of God, Atman, as given in the last of the Vedas and specifically in the Upanishads of 600BC.

The God that Kittigate and most Westerners are usually talking about is the God of the Old (and often also the New) Testament. He has specific attributes. He is omnipresent, omniscient, omnipotent, and perfectly good. If you think carefully, it soon becomes obvious that he could be the first three, but he can't possibly also be the fourth.

to experience the Truth within you
...give up all definitions of who or what is conceived
to be God. Forget definitions
of Old and New Testaments.
Know only your direct experience
of The one and only God within you,
and we see that all definitions 
do not equate to a direct experience
of the absolute truth within.
     Does this resonate with you?
Cheers Hartfire
     

And if you continue thinking, you will come to realize that we have absolutely no idea of what the role of suffering is in creation and therefore have no basis to think that God cannot possibly be "perfectly good."

I expect to you "If you think carefully, it soon becomes obvious that he [God] could be the first three [omnipresent, omniscient, omnipotent], but he can't possibly also be the fourth [perfectly good]." just as to Baba if you "Take a deep look within your Self.... what you see and experience is that God exists within you as you."  It's quite possible that we naturally see "God" in our image, the way we imagine Him to be.

A father and young son were traveling along a road at night when suddenly the son being in a near panic insists that dad stop the car, so father does and when coming to a stop a huge tree lying across the road shows up in the headlights now suppose they'd slammed into that at 60 mph..
Such experiences occur occasionally that can be convincing for some people to say 'there must be a God'
I've never had any experience that convinced me there is NO God but I still about 99% certain there is no God or demons.

"Present hard factual evidence for the existence of God." who gets to decide what is admissible evidence for "God" and sit in neutral judgement?

"Find a flawless logical argument for the existence of God." who gets to say that an argument which leads a person to accept God is flawed? Many atheists, some quite zealous ones too, have argued themselves into concluding that God exists or must exist. The ones in the videos below are just one example from the UK, a graduate, and one from the US, a mathematics professor who was convinced from personal experience and observation that if God existed He must be the vilest thing ever.

"Find a flaw in the logic that proves that God is an impossibility." Who gets to define the God that is being proved impossible?

Yes could try encourage people to convert to Buddhist religion. 

sounds like you're blaming theism for the existence of atheism. Many atheists insist that atheism is the natural or starting state. 

Or we are all born with the memory of the God who created us and then we are infected by atheism (frequently by parents who were also infected and never sought a cure).

In that case if we are all born with the memory of the god then please explain why their are so many religions.

The memory is that God exists---(without Him was made nothing that has been made).

Each man must seek in order to find him, and study an pray with His help to understand Him.

Each religion serves a purpose as either a bad or good example.  But He did only establish one.

"we are all born atheist" so atheism is not arrived at by reasoning. No logical thinking is required or involved.

That's the way it should be. 

"That's the way it should be." is not linked to any statement so I'm assuming it refers to "atheism is not arrived at by reasoning".

Atheism is natural;  one doesn't need to reason their way into non-belief. Eg. You tell me something that sounds kind of odd-ball that you think is true then I can just dismiss what you said without needing to give it any thought. This post was edited by Kittigate at February 4, 2018 7:05 AM MST

"tell me something that sounds kind of odd-ball that you think is true then I can just dismiss what you said without needing to give it any thought."

If you turn it around as to what many believe, all kinds of stuff. Life just happens and comes from non-life. (Seems odd that some look at a Platypus and think it just happened but look at a tinker toy and think it needed a maker.) Our universe just happened by chance and everything just fell into place in able to sustain life. The ant, Platypus and blue whale all have a common ancestor. 

If you turn it around and suppose concept of gods/God never happened -would any part of evolution theory require a need for divine intervention to advance from when life first began to where we are at at present times?