No way Kyle.
The Z28s and Trans Ams are rated at 310hp, 300hp for the GT, slight advantage to the GM.
3.42 gears in the GM, 3.55 gears in the GT, to close to make a difference, but if it did the advantage goes to the GT.
AT vs 5 or 6 speed. No difference on the street, it all depends on the driver. If there is an advantage it goes to the AT, less chance of a missed shift.
Weight: The GT weighs in at about 90 more lbs, slight advantage to the GM.
Age: The F-cars are 4+ years old now, the GT is new.
On stock street driven cars its a pretty even match on paper, its all about the driver.