Hi there, and Welcome,
Not having worked FOR the FAA, but having a lot of experiance working WITH them and the Inspectors in the field that they have, I can speak to it from two distinct standpoints. One, for the most part the FAA Inspectors are pretty helpful and most of them that I know, come from the "dirty end" of aviation, meaning the ranks of the maintenance workforce. Secondly, those that are and have spent most of their career's in the administrative role at the FAA seem, at least to me anyway, become a part of the Great Governmental Beaurocracy, in that having layer upon layer upon layer of paperwork is a grind to those who take care of the US Aviation Fleet.
As a career path....it depands on what you want and what type of Law you have trained for. The FAA is just another typical Government entity. And you can make it as good as you want to in your own niche.
Again, the people make it work...the red tape folks....well...I'll leave that for you to decide
The old joke goes something like this...and please pardon me the pun:
The three things you never want to hear anyone say
"The check's in the mail"
"a car dealer saying "Trust Me" "
or the best one (at least from an A&P's standpoint)
"Hi...I'm from the FAA and I'm here to help you"
Best of luck to you Sir....
Paul