If you feel political orientation truly influences your relationship and your ability to love another person, then I'd risk to say your priorities are out of whack.
Alignment on religious and spiritual matters is more important but even here, if you dare to open up to contrary views, the absolute worst that can happen is that you just might learn something new.
Unless, of course, you pursue a cannibal and just can't stomach her religion. Fair enough, I'd say, but you never know, she might be interested in one of your cookbooks..