Obstruct for the sake of your supporters that would vote for your party anyway (i.e. abortion supporters, anti-gun, etc.) and alienate a huge population of voters, Hispanics, that could be easily turned from voting Democratic to Republican by this move.
I keep seeing this stated, and I hope you're right about it. I had a Hispanic employee a few years ago who was rabidly democrat, believed in La Raza, saw nothing wrong with huge welfare programs, and was sure that the Southwest would be returned to Mexico--not exactly Republican initiatives. I realize she was a sample size of one, but I'm sure she is not alone.