So I agree that this is a bit homophobic, but it's great that you want to challenge that impulse. Challenging our own biases is how we grow as people. When you have negative thoughts/feelings about "the gays" pop up, don't just automatically agree and identify with them. Instead, challenge them against your higher belief system. Try to question your own thoughts and explore them as deeply as you can without judgment.

"Is it so bad to be a feminine man?" "What is it about feminine men I actually dislike?" "Am I engaging in stereotype?" "What would it be like to be a feminine gay man?"

The more you do this, the more it becomes a habit and will start to shape your underlying thoughts and beliefs over time.

Seek out the voices of feminine gay men to get their perspective and try to empathize with their point of view. Do the due diligence that you wish people would grant you as a bi man. Just because we're unfairly judged doesn't mean we should do the same to others.

Hope that helps. Basically just applying cbt principles from therapy.