TC Civic on par with REX?
That really depends on how big a turbo the civic has on, and what
year the REX is. Even then, its won't be easy for the civic to be
on par, just because the REX are AWD and the civics are FF.
From a stop, wont be easy. On the go, also not easy because the REX
or STi got so much touque!
I guess if you have the money, you can do a rebuld, but in a huge
turbo, change the axials to handle all the power, change clutch so
that it won't slip, add an LSD so pickup and conering are improved,
and change to close gear ratio and final gear. For insurance, add a
100 shot direct port nitrous setup. 
With such a setup, I think you'll be pretty hard to beat on the
road even if u dont drive very well. But then again, if you can
afford such a setup, why in hell would you want to buy a civic in
the first place?!? 