Anthony - First off, got your variants a little twisted here.
The B1 variant was simply and M4A3 Sherman with the turret from the M36.
The B2 variant is the M36 with a hull machine gun and to the best of my knowledge it never served in W.W.II but was used post war.
The tracks that come with the kit are the T-51 Rubber Block style Sherman track and were used on this vehicle. The surviving Aberdeen M36 has these type of tracks on it.
Just a quick scan of some pics I have also show the T-48 Rubber Chevron style and the T54 Steel Chevron style both being used also.
Happy Modelling and God Bless
Robert