Even IF the protesters are anarchists, don't anarchists have rights in Trumps America??

Nobody has questioned anyone's right to protest. The left always interpret criticism as someone trying to take their rights. You're hallucinating.

The protesters are being criticized for their violence, vandalism, contempt for democracy, childishness, and absence of any coherent call to do anything etc.

The people protesting are in my opinion misguided at best and complete human garbage at worst. Saying that is exercising my right to free speech not taking anyone else's right to free speech, public assembly, or to petition government for redress of grievances.

Protests are meant to petition the government to do something, not just express angst. If it makes you feel better to chant "F*** Donald Trump!" in the street, knock yourself out. Catharsis can help with psychiatric disorders. Though don't expect to escape mockery and criticism.