Do you think that most people who are against gay marriage don't know many if any gay people?

I was just thinking that people seem to hate, distrust, or lack empathy for people they don’t know. I’m betting that many people who are against gay marriage have an idea in their mind of what gay people are like, but have never spent time with gay people (or at least they are unaware that they have). I think this about almost all people who are racist or hateful, they have some sort of fear in them, about certain groups, that is completely unfounded. The fear comes from lack of interaction with said group in my opinion.