I'd say think of it this way, if you base a relationship purely on a single aspect about someone, your very shallow. Being a furry is only one piece of the puzzle that makes up a person. You date someone because you want to, not because they are a furry or not. If you care for someone enough what they like shouldn't even cross your mind. I met my boyfriend at a furry con, he has a fursona, but he's slowly becoming a non fur. Do I care? Not in the least, I didn't start dating him because he was a furry, I started because I liked him.
Furries are people, and they can date who ever they please. There is no difference between a furry, an anime geek, scifi whatever, and every day people. They are just people who take more of an in depth interest in something. In the end we are all just people.