Is weight an issue for you? An SG is a lot lighter than a Les Paul style (they can be half the weight of some Les Pauls). Is neck scale length going to be an issue? The Gibson 24.75" scale means less string tension for a given string diameter than a Fender 25.5" scale. Slightly less far to stretch between frets as well on a Gibson scale,. Which is why people tend to string Gibsons with a set of 0.010"s and Fenders with 0.009"s, as you end up eith a similar overall string tension. Though of course you could string a Gibson scale length with .009"s (I did until recently) or even lighter (a la Billy Gibbons who's supposed to use 0.007"s).

Pit Bull don't do a Jazzmaster per se, but a version of a 'Jagstang' which gives a versatile HSS configuration, so good for a wide variety of sounds. It's also slightly easier to assemble in that you don't have to do any work on the headstock, unlike their ST and TL kits, which require shaping. It's also got most of the electrics pre-wired, so there's minimal soldering required.