From personal experience, this is not the greatest idea. When it comes to politics & religion as well, things can get heated when you're total opposites. When you're anti-war & with the "turn it to glass" or "just go in & take it" type it can create more conflict than a relationship can handle. It could work if the differences are aren't that varied but the problem is our socio political beliefs pretty much define us. It might work in a more casual relationship but not sure it would work long term.