Evolution SHOULD have no bearing on Constitutional governance.
But since governments, federal, state, and local, control education, at least at the 2ndary level, and through funding, much of the university level too--AND, since government is so involved in the funding of science, evolution has a huge bearing on our governance--and societal assumptions in all areas.
The problem is, we don't have, and haven't had for a very long time, true Constitutional governance.
I’d like to see evidence that the religious faith of past Presidents has been such a hindrance to scientific funding. If anything, non-religious (or pantheistic beliefs) beliefs are more a problem in science today since people are prone to dogmatism whether it’s Judeo-Christian or not. I still say that this is a red herring offered by the left to spotlight religious beliefs and castigate them.