That idea unfotunately won't work. The Turbo is so hot... there is pretty much no point in cooling that air down. The Turbo has got exhaust gases spinning it. Besides, its entire point is to compress air and make it more dense, the intercooler then cools the hot air down after being compressed (as we all know friction causes heat, so making air more dense heats it up anyway).
In theory it sounds like not a bad idea, but in practise its impractical and the gains would be non beneficial, if any.
They should run encase that Turbo in liquid nitrogen, then push air through it. Ha ha.
Think of how Nasa runs their rocket boosters. They need to keep the engine cool. How they do this, is have tubes running alongside the inside of the booster with their liquid cooled Fuel, which is like -1000 degrees or something, which pretty much makes the whole rocket booster safe to touch on the outside and above the blast. So they use the fuel to cool the engine before it gets ignited...
Pretty smart.
Anyway... enough rambling.