I agree. I have to deal with them too and they're a big danger to my dogs.
That said, there is a right way and a wrong way to do things. The issue here isn't the removal and destruction of the nuisance gator. That's a done deal. The issue is the improper and decidedly unprofessional method used by the game warden.
I'm not a PETA freak, but I will tell you (as a former wildlife biology major) that some game wardens can show depraved indifference to animal life--I know, because I witnessed it firsthand. That's one of the reasons I changed majors from wildlife biology to engineering.