10 bucks says you have steppers there. Of course you will have to get it to your shop to reveal the inside of the cover. They could be DC brushed servos, but you usually can see /access the brushes (not visible in any of your pics). I'm pretty sure all of the Bandits pre-dated AC Servos, but I'll bet 100 bucks that these are not AC Servos.
There are older threads and a current thread on replacing the Bandit (Summit/Dana) you may want to read as well.
If you just want to get the old gal up and running in the shortest time possible with the least amount of money, I think you will find the steppers the easiest, simplest, and cheapest.
For the life of me I cannot think of or find what I thought was a decent 'kit' or complete package, if I find it I will repost.
Bob Campbell also offers a decent looking kit and various components. CNC4PC is an excellent choice for components, but don't know if they sell in packages (don't think they sell drive motors).
Welcome Brian! It may be appropriate in your next post to let everybody know how long youv'e been afflicted with the CNC bug (somehow its supposed to help you toward recovery, I just haven't figured out how).
Good luck with your project, and have fun.