being that I havent ever been in the GOP I guess I just won't get that part....
Unfortunately in this political climate any 3rd party isnt going to do much. So it is up to people like you who are already in the GOP to get actual conservatives (Mike Pence comes to mind from Indiana) and get increasingly more and more of them elected.
And its a matter of the local law enforcement going after the employers of the illegals too. That would get the issue quicker than just about anything short of nuking Mexico. Whether the employer is here in Ohio or Massachusetts or Arizona or California, if the employers get busted and not only fined but put out of business, well you can probably finish that thought for me....