Turbo 3.8 make ridiculous amount of torque. What saves us usually is lack of traction.
This is why I can do 2nd gear starts and still do a 1.6 60 foot. With a 2.6 pulley on the S/C before there was no way in hell I was doing a 2nd gear start and have a good ET.
I too had luck with stock trans in a FWD application. but if you hook hard, you will break it sooner than later with that amount of torque. That is pretty impressive for 3700rpm pull.

That said the best thing we turbo guys can do is buy a smart RPM based boost controller which would limit torque at low RPM.
Most cars running high boost have to do that either for traction or to protect the transmission.