Get a bugeye, that will solve the first problem.
In that car, it's 3rd that's the weak one. It has little to do with the turbo, but has everything to do with the driver. A small turbo can just as easily break it as a larger turbo, because the torque hits harder. There are cars out there running 350-400whp on the stock transmission and haven't broken it, but there are retards out there at 230whp breaking gears.
I have 300+ whp and have launched 50+ times and tracked it more than 30 times, and have yet to break a thing.