Im not 100% sure if there clutch type. Its hard to tell exactly whats on toyota gearboxs.
The other common toyota LSD is viscous type which imo isn't as good.
To be sure you would have to get the axle code on the build plate.
ae101 shafts and hubs will not work with an e series box. If you get the e series gearbox get the shafts and hubs too. e series box is stronger, used with the mr2 turbo.