It is important to note that not all gay people like drag queens/kings, or want to be a drag queen/king. Not all gay people are campy, or "flaming", so disliking drag just because it's not your bag regarding art does not make you homophobic. Disliking drag simply because it is "gay" makes an individual homophobic. However, keep in mind that drag is an art form enjoyed by gays, lesbians, straight women, AND straight men. That's right, some people who do drag are not gay at all, and are simply expressing themselves through art.
It is also important to note that unlike common misconception, people who take part in drag do not necessarily want to be that gender. For example, drag queens live their everyday lives as men. They are proud and happy to be men - and the same goes for drag kings. There are some people who do drag and then feel it isn't enough, because perhaps they would be happier as a woman or a man, and these people generally stop doing drag and begin the process of transferring.
Drag is an art form, a social satire and commentary. It's the elevation of the illusion of gender. Drag is not being a "transvestite" in which people cross-dress for sexual kicks, there is nothing sexually motivating about it.
It is all about the art.
"I consider myself a female impersonator. I take what women do and multiply it times ten. I feel like I'm honoring women. I'm not making fun of women. I think they are the most powerful beings on earth."
- Nicole Paige Brooks
"People don't hate gay guys because they're gay. They hate anything that's 'feminine', because it's femininity. They see anything that's girly or feminine or womanlike as something that's weak - and that's why we do drag because we want to empower that deity feminine focus."
- Jujubee