Yes, but the question is how many young Republicans are there vs. young Democrats and how much of an impact they have overall on the GOP's uber-reliable voters.The majority of young Republicans support gay marriage (61%) and I don't know if more than 30% of the Republican base supports no rape exceptions for abortion. I think discriminating against black people and Muslims helps the GOP with regards to voting (because America has a lot of fuckheads), but I don't think their homophobia or anti-abortion crusade is helpful at all with regards to winning elections.
The GOP has no diversity whatsoever. They prop a lot of people up and have figureheads, but at the core, there is absolutely no diversity. There's a reason for that. The party faithful are mostly old and white.