It has nothing to do with God. The problem for them isn't that they make it easier or harder to believe in God. Heliocentrism doesn't move God out of the center of the universe. Evolution says nothing about how God became to be.
The problem with both is the they remove humans from the center of the universe and from special attention. It is pure hubris that underlies some people problems with our increasing understanding of how the universe actually unfolds.
You know, the idea that Theologists objecting to Heliocentrism because it stopped humans being "special" in the centre of the universe is a modern misconception. In fact, almost the reverse is true. Under older conceptions of the universe, the centre wasn't a special and revered position it was the imperfect and decaying heart. Perfection was found out in the celestial and heavenly spheres. Many Theologists of the time objected to Heliocentrism because it lifted humans out from their position of scum floating in imperfection.