"Sponsorship" was a product of the laws past in the 1920s.
All I can say is that the second and third generation Mexicans I have encountered are as American as you and I. The first generation NEVER assimilates.
The problem is not with Arabs, it is with MUSLIMS. I lived in a nabe with a large Arab Muslim population, and they were not the type of folks we want to have in this country.
Right on! (Glad you ran out of bubblegum!)