I would think the possibility of the reptiles carrying salmonella is a concern.

IF you run a very hot composting system, it would PROBABLY get hot enough to kill any salmonella. So, if you could research how hot it has to be to kill salmonella, and then make sure your compost gets that hot, but even then, I'd be concerned, as there will usually be some spots that are hotter & cooler in the compost, so if the salmonella manages to survive in one of the cooler spots, you'd still be spreading salmonella on your vegetable garden.

Of course, if you are just using the compost on a flower garden or something like that, it is probably fine.