Me and several of my exes seemed to be complete opposites but we learned about the others' interests/hobbies and some we even took a liking to. We didn't just avoid it; we gave things a chance. We didn't pick up everything or like everything and we didn't force the other to take part in certain things - individuality is a big thing to keep when in relationships so it's a good thing we had our differences.
For example, I was never BIG into football but I liked it. One ex really got me into football. Another it was techno music. Another it was Star Wars. Just because we're not together doesn't mean I stopped liking those things but I liked them because I was introduced to them by exes and it wasn't something I pretended to like because I was with them. :)