The problem with that idea is that unlike white evangelicals, these other groups that the GOP needs to outreach to if they hope to remain relevant generally don't see gays and abortion as the preeminent religious issues.
Well, not yet. What I'm saying is that they may grow to do so as more, especially on abortion, which the Church views as a moral imperative.
Given that even amongst the most traditionally anti-gay subgroups there is a movement towards gay rights as tenative as it may be, so the idea that Hispanics alone will go on the back pedal is unsubstantiated. On the issue of abortion, the Public Religion Research Institute confirmed in July that 53% of Hispanic Catholics think abortion should be illegal in most instances compared to 60% of Hispanic Protestants, so the potential for Catholics in particular to be a grabbable minority on abortion is debatable. Remember that Black Americans have tended to view abortion more negatively than Americans on the whole (identified by PRR in the poll) but the GOP has not made inroads with them. Indeed the best Hispanic target groups are evangelical/born agains, those who identify as conservative and those who have no high school degree.