Well, there’s “secular humanism” which is something which has some definite intellectual principles in it, one of which is a rejection of religion (as I seem to have read a couple years ago)
A lot of politicians don’t explicitly profess secular humanism. What they do is often to deal with things according to the circumstances and precedents, such as in law. They, thereby, omit precedents from natural law or from moral code.
And, that omission is based on their (in my thinking) shallow acceptance of the idea of a “wall of separation” between church and state.
On TV the other night, someone pointed out that it was Jefferson who had written about this “wall of separation” but it was the same Jefferson who drafted the first amendment to the constitution guaranteeing the free expression of religion. So, it’s one of those cases of quoting Jefferson out of context.
Perhaps what you are also referring to is simple moral relativism.
The Catholic Church tries to help people form a correct conscience about things, like abortion. The Church also teaches that people are to follow their consciences, and not just their emotions or desires.
A lot more can be said about each of these subjects. But, maybe this helps to sort a few things out.