Changing demographics are a fact that must be dealt with. The first thing one needs to find a solution is to identify the problem. Ther real question is how do you appeal to a "braoder base" without compromising your principles by pandering to those you are trying to attract. The Reps lose when they play identity politics. They can't match the Dems in that regard
We not only have to secure our borders and establish a system to track and deport visa overstays, we need to address our pro-population growth immigration policies that are not serving the interests of this nation. We don't need 1.2 million legal immigrantts a year. We need a pro-immigrant low immigration policy.
Make the border issue about law enforcement and competence. Period.
It will be interesting to see if the GOP decides to go after the secular white suburbanites for their next coalition, or to keep trying on Dubya's "compassion" nonCoalition.
I still find it interesting that our future will see the SoCons dependent on the votes/support of lower class "ethnics"/people of color to support traditionalist initiatives, even if such people continue to vote Democrat.