My (not very strong) historical evidence for my claim is that the US has not had a significant Constitutional Amendment passed in over 45 years (I don't consider the 27th Amendment, which made a minor adjustment to Congressional salary rules, to be significant).
There have been two such periods of relative Constitutional calm/inertia in the country's past.
From 1804 to 1865, no amendments were passed. The unaddressed issues around slavery led to the Civil War.
From 1870 to 1913, no amendments were passed. The unadressed issues surrounding industrialization, imperialism, wealth/income inequality, and increasing economic volatility led to the Progressive Era and measures such as the income tax, the Federal Reserve, direct election of Senators, and granting women the right to vote.
What form do you think the next shift in Constitutional structure will take?