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I think what you are talking about is a limited slip differential. You want power to both rear wheels? correct? Do a search for LSD. This subject has been discussed a bazillon times.
^as much time as it took you to type that you could've answered the question. Swap the rear end from an automatic tt supra. You'll be good to go with a torsen LSD.
I was trying to say use the search button in a nice way. AND, I could not have answered the second part of her question, about what all it affects. Like torque, mpg and spedo bieng off. Because I'm not sure and I don't want to proliferate bad info. Search LSD and you will find ALL the info you need.