Getting feedback you disagree with is great. That's the most useful feedback as it tells you something you don't already know.

Try to really understand why they believe what they believe. Chances are your viewpoint isn't perfect, so by getting to understand someone else's you get to readjust yours taking into account their perspective.

Also, often it seems like you're in disagreement, but really you're talking about (slightly) different things. By diving into the other person's reasoning you can quickly tease that out as well.