I had a boyfriend once, long ago, who wouldn't eat egg yolks. His mother told him, from his earliest years, "you won't like those." Thus he didn't.
I happen to adore calf liver (the way the very intelligent Italians cook it in Venice) and my lover doesn't care for it all. This is fine, since the solution to that is that when we're in an Italian restaurant, I can order the Fegato alla Veneziana, and he can order any pasta he chooses. Neither of us finds it necessary to object to the other's choice.
It can be hard to understand why other people don't like the things you do, and it can be even harder to understand why other people like things that you wouldn't consider at all.
But you are not the be-all, the end-all, or the arbiter of taste. Nor is there any reason for you to fear when someone else has tastes that differ from yours. Nothing in the world compels you to adopt those tastes.
I think there are a couple of kinds of homophobia extant. There are those who have been indoctrinated into very rigid faith beliefs, who've been taught that "God is coming to punish evil-doers" and that likely some innocents will be hurt by that. They're obviously wrong, since the Bible makes it very clear that God's aim is perfect -- he can kill only the first born and leave everybody else alive, while excepting those that have a bit of lamb's blood painted on their lintels. This is very precise, so there's no reason to suppose that you'll be caught in any fallout from a vengeful deity.
The other, more insidious, kind of homophobia is that expressed by people who are what is often called "curious." Let's face it -- we're all interested in sex. It feels fantastic, it's a powerful force that (until you get to be as old as I am) is undeniable. But who can easily understand why that strong urge that compels them to seek out an opposite-sex partner is just as strong when it's a same-sex one?