The answer I'd give about my choice, and the advice I'd give others (if asked) would be the same:
Dating anti-gunners is fine, because it's easy to mistake a superficial anti-gun attitude for a deep-seated anti-gun philosophy. Part of what dating is about* is getting a sense of the other person's values, and seeing which ones are fixed and which aren't. Do you want to live (or reproduce!) with someone who lives in a different moral universe?
A lot of anti-gunners are that way because they only thing they know about guns come from Hollywood movies. Hunters aren't portrayed much in movies; civilians who try to defend themselves tend to be really ineffectual, unless they happen to have been an ex-Navy SEAL (always a SEAL; apparently moviegoers haven't heard of Force Recon, Airborne Rangers, or a couple other folks who know a thing or two about fighting.) Everyone who can do anything useful with a gun is always a criminal or a government employee - and the things they can do are often laughably unrealistic. (The press doesn't help either but I'm getting off-topic.)
Just being around people they know to own guns - without necessarily even discussing them - is enough to at least start to melt the ice with some people. My fiance is no longer anti-gun (nor does she show any interest in learning to shoot; she's already got like 500 hobbies!)
If, after some dating and quality time spent learning about values, you find the person you're seeing is seriously committed to the policy that guns belong only in the hands of the government, and anyone who doesn't get their paycheck from the taxpayer should never ever even think such scary thoughts, then move on. Make your position clear; no need to have any bad blood. You're not just dealing with sticks that go bang here - the person's entire attitude toward individual responsibility is in question.
I have been very close friends with a lot of leftists. A lot of them are kind-hearted, smart, peace-loving people, but they all have messed-up ideas about individual responsibility. They very commonly "trade emotions" - apologizing to you when you mess up, demanding apologies when they feel guilty, etc. It's the emotional, interpersonal equivalent of gun control.
They also tend to be opposed, or at least weirded out, by the concept of home schooling. Same exact reason: if the state isn't involved, they're just plain uncomfortable. Wherever shall we get our legitimacy through a practice that is *gasp* free and voluntary? (Obviously not all or most gun-owners school their kids at home, but I've never seen a gun-owner oppose the practice.)
Leftists are not worth hating but they are worth being wary of. If you have a cigarette around a leftist trying to quit smoking, don't be surprised if they join you and then blame you later for "tempting" them - it takes a village to do ANYTHING these days.
* in my case, anyway. For some people, pure fun is enough, but that's not me.