You would lose. On the strip, you will begin to lose rite after 1st. our 6spd would PROBABLY make up for the TQ/HP difference at the launch but other then that I would guess you see nothing but there a**. At a road course you may be able to hang a little unless the z06 driver knows what he is doing.
Do what you want to do, if you want to SC/TT then go ahead and do it. Although SC expansion isnt as large as TT, you can still expand some. LSD, 4.08, flywheel, etc...there are plenty of supporting mods that are not really all that much money. Shoot, if you mainly participate at the strip i say :
SC
2 lightwieght wheels (volk ce28n =)
LSD (probably OS Giken)
nitto 555R (on the seperate wheels, or your choice of drag radials).
Don't get discouraged though, its a build and it dosent happen over night