I doubt that there would be many Americans that would wish to be the pets of an alien race.
What I would suspect would happen would be a desire to convert the heathen aliens to Christianity and Islam (and perhaps various sects within these), and at the same time, religious crackpots preaching a garbled version of the alien religion to Americans, most likely for financial advantage.
If the aliens were red and had horns and hooves, that might make lessen the desirability, of course.