Is there friction between gay men and gay women?

I base this mainly on what I do not see. I know there are a lot of organizations with names that start out “Gay And Lesbian…” and it is clearly in their mutual interest to work together. However, I don’t recall any public appearances with a gay man and woman together or statements of support for someone from one group by someone from the other. Are the two communities largely separate? Is there any antagonism between them?