That seems clear. The news reporter added a "but" in the following sentence perhaps to show Elizabeth was an objective, clear-headed observer:
"Elizabeth Thornton joined Friday's demonstrations to support the detainees — but she added that she was not enamored with the federal approach to immigration."
She is likely not enamored for the reason you suggest.
For any that may need a guide to who the good guys are in these protests - the bad guys are burning the U.S. flag.
Well, I hope they put the sick, infested, illiterate, ILLEGAL ALIEN LAW BREAKING kids in the same class room her kids are in next fall. Then let’s see how tolerant and understanding she is.