Do the different things!!! I hate that my husband does things that I consider 'dangerous' (sliding down the stairs on cardboard) or 'unhealthy' (junk food!) and he hates when I do the things that he considers 'messy' (glue, glitter, clay, beads all over our kitchen table) and 'money-wasters' (taking them to the comfortable warm little gym instead of freezing my butt off at the park). One day, I read an article on the benefits of these 'dangerous' dads (throwing their kids up in the air on concrete with the risk of the poor babies breaking their heads in articles I have ACTUALLY read happening in real life) -- it turns out that those dads are GOOD for kids (shock galore considering some kids -- a really, really, really, small number do die). Note: I would NEVER let my husband do *that* (article or no article, benefit or no benefit), but I realized that the article made some really good points.
So now we kind-of allow the other person to do whatever they want and bite our tongues. We figure we'd have to do the same thing anyway if we were to get a divorce (and unfortunately, this includes the more extreme situations of not liking each other's friends and family members!!!).
I hope that helps. It definitely SUCKS for you but it's definitely BETTER for the kid. That's the same with the different political seasons. It makes voting time EXTREMELY stressful in the house (at least for me and my hubby, at opposite poles on EVERY issue) but it's better for the kids to hear all these different ideas (instead of most households where they'd hear the same idea again and again for 18 years. Think of it that way -- you are exposing your children to TWICE as much of the world and all the things, beautiful and ugly, that it contains, preparing them TWICE as well for adulthood and being TWICE as good of a parent!!!