Replace the ti with a 1971 Dodge Demon with a big-block, or stroker small block.
That should do it.
The ti is a better road car...
If you must, I would obviously gut the entire car out, and have a 12-point roll cage fabrcated. This will help hold the car together as well. Get a 'glass nose, and lexan windows. Maybe have the doors acid-dipped. I don't think you can get 'glass doors for the ti. Remove the entire rear suspention, and have a custom-made 4-link set-up installed with a shortened Ford 9" rear with a spool and 5.13:1 (or so) gears.(depends on how you have the motor built, obviously) Of corse, tubbing is not even an option. It must be done to get the power to the track.
Moving forward, I would go with an automatic 'tranny. You will need a reverse manual valve body, so it's technically an automatic, but not actually, since you must manually shift it. Probably a Chrysler 727. There fairly bullet-proof when built properly. Stay away from a manual box for serious track work. Too much time is wasted shifting.
The motor: I would go with the tried and true Chrysler 426 HEMI. You can now get all the parts (including the aluminum block) direct from Chrysler. Build it up right with low comp. pistons to handle the blower. Better get a pro for this part.
Fabricate "elephant ears" to attach it to the front frame rails, and a custom trans. mount and drive shaft.
I won't go into details on the cooling system and other minor items which will need to be fabricated and tested.
I estimate a cost of 60-80K$, depending on the ammount of work you can do yourself.
Good luck!
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"Speed's just a question of money. How fast you 'wanna go?"