First of all, any stock Civic hatchback will handle well in comparison to the dead pig-ness of a 2G DSM, and still IMHO slightly better than a 1G. (Except in conditions where AWD is a factor, of course.)
Secondly, ITRs have a physically stiffer frame than the rest of the Integra family. CTRs are most likely the same, but seeing as there's only a handful in the US, its not exactly widely known info.
In any case, with a quick shopping trip involving some choice Benen bits, along with the classic front and rear struts, sways, and ties, plus a set of aftermarket springs and struts, you will have a VERY nicely handling car.
Oh, and the DC strut bar is easily hand bendable. Not worth anyone's time or money. Its just a sheetmetal part that they prettied up and cut some holes through.
To top it all off, RS integras don't have moonroofs.
Phew.