How many African American Republicans are serving in Congress? None.
How many Hispanic/Latino Republicans are serving in Congress? Four, I think, and they're Cuban Americans and some have said that they don't really qualify as real Latinos. (Ileana Ros-Lehtinen, the Diaz-Balart brothers, and Mel Martinez).
How many Asian American Republicans are serving in Congress? One (Joseph Cao - and he'll be gone in 2010).
How many Native American Republicans are serving in Congress? None.
How many women are Republicans are in Congress? 21 (out of 91) in both the House (17/74) and Senate (4/17).
How many Jewish Republicans in Congress are there? One (Eric Cantor).
How many LGBT Republicans in Congress are there? None.
Yeah I wouldn't exactly call the Republicans the party of the minorities but more so the party of old angry white men. Republicans don't necessarily hate minorities (aside from homosexuals); they just, well, how do I put this diplomatically, don't tolerate differences?
Isn't David Dreier gay?
As for the Republicans' poor showing with minorities, I would argue that it has more to do with their resistance to social programs, class warfare, and their lack of pandering to minority groups.