Miker, with an aluminum flywheel, it is expected that you will require more throttle and possibly slipping the clutch to get it moving. A heavier, or stock steel flywheel will store more energy and get the car rolling much more easily and will be much more pleasant to drive on the street.
With the exception of truck 4 speeds, All T5's have shorter 1st gears than any transmission that was ever factory installed in any Y-Block equipped vehicle. So, if the stock transmission got it moving easily, then a T5 will also. This again points to the issue being the aluminum flywheel, rather than the transmission.
The T5-Z is the only one for Ford with a 2.95 1st gear. That is an aftermarket transmission which was never factory installed in anything. While it is absolutely possible that you could have one, it's not very likely, unless you bought the transmission brand new. Every other T5 is shorter than that for 1st gear, once more pointing to the flywheel.
For street use, you want the rear gear to be something that has the engine at a favorable spot in the powerband in overdrive, usually somewhere between 2000 and 2500rpm.
Lawrenceville, GA