Ricer math abounds.
The 3zz kit boosts the compression ration from 11.5:1 up to 13:1, what does this mean? Basically you can't run a turbo without race gas or your engine will blow up.
What you CAN do is get the 3zz internals and get low compression 8.8:1 pistons. Then if you strap on a turbo you can exceed the XS Engineering limit of 6psi and start boosting very high.
The problem is the XS kit is set up for the 2zz 180hp (at the crank) engine, with regards to turbo, wastegate, and ecu. It has an internal wastegate which will limit your gains.
With an el-cheapo ghetto custom turbo (which is cheaper than the XS kit) running on lower compression pistons without a 3zz internals kit, you could push 350 horsepower.
Of course, most of the ricers don't understand that pushing that much horsepower will just smoke your tires to death.
In order to handle power you need a limited slip differential, clutch, and I'd throw a flywheel in there while your transmission is dropped.
TIRES are also very important.
Lift exists with the XS kit. You experience turbo spool up by about 4000RPM, and at 5800RPM your lift engages (this is lowered from 6200 RPM by the PowerFC that comes with the kit). Another benefit is that the kit allows lift to remain past the original 7800 limit up to 8300RPM, however, you start losing power past around 7600RPM, it's only useful so that when you shift to the next gear you remain in lift.
As for the 3S-GTE, one guy did it for about $8000 dollars and is pushing 530 horsepower.