Jeff may be right about the transmission being a TR3650 if he has access to a way to index the part numbers. The 2001 GT production started with the T-45, switching to the TR3650 midway through the production year (love it when Ford does this).
The TR3650 has a very tiny looking tail housing and is more square than the T-45.
T-45
http://www.ttcautomotive.com/English/products/T-45.asp
TR-3650
http://www.ttcautomotive.com/English...ts/TR-3650.asp
For what it's worth, I'd much rather have an old T-5 than the pos TR-3650. At least from my personal experience.