The problem with allowing God a role in the history of life is not that science would cease but rather that scientists would have to acknowledge the existence of something important which is outside the boundaries of natural science.
If modernist naturalism were true there would be no objective truth outside of science. In that case right and wrong would be a matter of cultural preference or political power and the power already available to modernists ideologies would be overwhelming.
The assumption that nature is all there is and that nature has been governed by the same rules at all times and places makes it possible for natural science to be confident that it can explain such things as how life began.
In short it is not that evolutionary naturalists have been less brazen than the scientific creationists in holding science hostage but rather that they have been infinitely more effective in getting away with it.
Evolutionary naturalism takes the inherent limitations of science and turns them into a devastating philosophical weapon: because science is our only real way of knowing anything what science cannot know cannot be real.
The restriction of religion to private life therefore does not necessarily threaten the vital interests of the majority religion if there is one and it protects minority religions from tyranny of the majority.