Driver Mod is what you need. Go out on some old abondoned road, and practice launching. I had an 04 GT that was bone stock minus some weld in flowmasters. Still had stock gears, air silencer removed. Other than that bone stock. I was cutting 2.00 60ft's with that car and running 8.9x at 79 or 80mph in the 1/8th mile.
With that car, I was using a 400 tread wear tire (which is just a tipical street tire tread wear rate), lowering the tire pressure to around 15psi. Then I would do a good burnout. I was launching that car at 4000rpm. When staged, I would very slowly bring my clutch pedal up, as soon as the clutch started to engage, I would barely push it back down. At this point, as soon as you start to release the clutch pedal, it's going to start engaging. Now, you release the pedal like you are taking off on the street, except a little faster. The last part is something you will just have to work on. Every car is different. It wont take you long and you will have it figured out.
I know this tecnique works, because I had a 99Gt with an o/r H pipe, magnaflows, SCT SF3 tuner, and 3.73's and I was cutting 1.89 60ft's with a 245/45/17 STREET tire (200 tread wear tire) on bone stock
suspension, even stock shocks and springs.
Also, what rpm are you shifting your car at? Just trying to get some info so I can help.