A lot of people who call themselves "conservative" would be better called "reactionary".
A lot of people who call themselves "conservative" would be better called "libertarian;" they want small government, and want to be left alone. The last thing they want is the government snooping, particularly in bedrooms.
The modern religious right wants big government as long as it furthers
their particular religious beliefs. Making laws to enforce their particular dogma is a goal for these folks, and the government snooping in bedrooms is just fine with them. Bah!
Religious belief does not constitute scientific evidence, nor does it convey scientific knowledge.