Right now, the GOP has been pretty effectively anathemized outside the dry states and the South (not even including Appalachia, since they vote GOP only in national elections). The party -- has made no attempt to address that, considering it's in practice defunct -- but among the living, we have two options, already offered here on this forum:
1. Keep the South within the coalition, and try to retain what is left of the marginalized rump existing outside it.
2. Junk the South, and hope beyond reason that the New Yorkers and Californians notice that and have an electoral change of heart.
Minority recruitment would be a failure -- I've had discussion with dazzleman about this, and have come to the conclusion that the fear of minorities being labelled sellouts within their ethnic community will block all attempt at GOP outreach. Not that the GOP should stop, but they should always expect disappointing results.
Were Hispanics demonized within their own community for supporting Bush? Of course not. And better marketing and outreach towards minorities (Asians and Hispanics) would de facto, in the process, reduce social ostracization?
Besides, what alternatives do they have? Keep being whiter and whiter as the country gets less and less so? How could NOT doing strong minority outreach to the two fastest-growing minorities in the country be a good long-term decision for the party? If they fail to do this then Hispanics and Asians will go more and more for the Dems, and even whites will be turned off.