It is an extreme minority viewpoint that religion has to be injected into ever facet of life to the point of thanking God for a successful bowel movement. For the vast majority of people, religion is not directly relevant to most things. Beyond that, there are really not as many differences between religions as many people would like to make out.
As long as you avoid the blatant practice of religion, it's easy to keep that stuff bottled up.
The other moral and ethical implications are in fact universal despite the insistence by some groups that they have some sort of monopoly.
The problem is really not hard. The outliers can go join the Amish.