Like everywhere else on the planet, we only hear the horror stories...no matter how low the odds are of something happening. Such is the case with venturing into Mexico to turkey hunt. The likelihood of anything happening in doing so is almost zero, but in the back of our minds, each of us is thinking,.."what if I am the one?".
I have gone down there several times, although not recently, and the only issues I/we had were not being able to speak the language and the inherent problems associated with that. Most of those trips were DIY where we did not go through an outfitter...just knew some people such that we were able to arrange the trips/hunts ourselves. We never had a single problem...other than that nervousness associated with going somewhere totally unfamiliar to any of us.
In your case, going through a reliable outfitter should alleviate any concerns you might have. If you really want to go hunt Goulds or Ocellated turkeys...and are willing to pay the price for it...you should do it without a second thought.