I don't think there have been any comprehensive studies about Minuteman-types on this subject, but I can offer some anecdotal evidence from my Minuteman chapter in Clint, Texas (near El Paso).

We are a little divided. JerryD and Greg do not like it at all. Dan, Zach and I don't have a problem with it. Jared, our leader, has adopted an intermediate position; he supports such immigration, as long as they're not Mexicans.

I'll bring up the question at the next county-wide meeting in August. I'll tweet the results.