LST2 Conversion "Budget & Powerful"

Has anyone tried putting a centre diff in the LST2?

I am going to try, just don't have the parts yet (they're in the mail). As the Muggy and LST2 share so many parts, I'm going to try if the LST2 tranny can be replaced by the Muggy centre diff. The wheelbase of both cars are almost identical, only 5mm difference, so I thought it should be possible....