I've got two names for you: James Carville and Mary Matalin. If those two can make it work for nearly twenty years, I'm convinced that anybody can.
And I really mean that.
Look, let's be real, politics is dangerous ground to tread upon. For some reason, people get more up in arms about their politics than they do about their children. There's a reason that politics and religion aren't allowed to be spoken in bars. With that being said, if you both have a healthy respect for each other's opinions and views AND know when to put the gloves away, then it can work.
Be clear though, you two will likely get into any number of arguments about your positions on things. And you will both want to box the other person in the throat. But at some point, you do have to acknowledge that its business and not personal. Politics are very personal, but the spreading of those ideals becomes business when you're trying to convert somebody. So as long as you call can play fair (for the most part), I think it's possible.
Interestingly, I think you both may find out that your views change as you live and grow together anyway. That way, you'll just hate individual candidates and policies as opposed to general liberal vs conservative talking points.
Hi! My long time boyfriend and I actually work in our state's capitol together for separate parties literally actively working against each other daily. I work for the Democrats and he works for the Republicans. We are both extremely passionate about our beliefs, but we are also very respectful. We certainly talk about our jobs, and we'll even argue periodically, but we have established a rule. If one person is getting heated, or the other person's opinions are getting too much, we say the phrase "Let's agree to disagree" and that means we both have to drop the issue. If he starts talking about something he is working on that upsets me, I just say "I don't feel comfortable discussing this," and we drop it. I love having discussions with him and learning about compromise and different view points, but we also both accept when our view is not changing, why bother talking about it?
Also, we have both come to respect certain parts of the other person's party that we never had any respect for before! I am now a proud supporter of the NRA and he of NARAL, ha!