Will the modern Mopar vehicles' manual transmissions bolt up to LA engines?

I just look up the depth for the RM-6070 bell which is 7.405", this is the bell for the 833 trans. So the stock TR6060 bell or the RM-8081 bell are only .066 shallower than the stock LA bellhousing. But I measured the height of the flywheel, disc, and pressure plate off a 360 LA I have and it was about 4" high off the floor, the flywheel, dual disc, and pressure plate off my 2012 R/T measured about 5 1/4" off the floor. It could still have a problem with the depth of the throwout bearing for fitment.