RE: What would you do if PETA showed up?
I concur with ButchA and driftrider.
Whatever ya do, don't lose your composure or provide them with any " fodder " that they could use against you or other hunters.
Of course on the assumption that their actions are definately associated with attempting to disrupt one's hunt , having a recording device of some type handy could be helpful to prove their actions. While its not the best I have a limited " movie with sound " mode on my digital camera, though I'm not sure if or how evidence gathered by such would be legally viable.