Your competition (GT Tib):
Engine : V6, DOHC, front engine FWD
Displacement : 2,656 cc
Valve : 24 valves, 4 valves per cylinder
Transmission : 6-spd manual, 5-spd manual, 4-spd automanual
Horsepower : 170-172 hp @ 6000 rpm
Torque : 177-181 lb-ft @ 3800 rpm
0-60 mph : 7.4 sec.(manual)
Curb Weight : 2969-3010 lbs
You:
Layout Front Engine, FWD
Transmission 6 Speed Conventional or DSG Manual
Type: VW TSI Inline 4
Displacement 2.0 liters
Horsepower 210 bhp @ 5300 rpm
Torque 207 lb-ft @ 1700 rpm
Acceleration 0-60 mph s: 6.9 seconds
Curb Weight 2900 lbs.
The real question is ... why are you worried? You're both front wheel drive. You are lighter. You have more horses. You have more torque at 1700 rpm than he has at 3800rpm. Your car quotes a faster quarter mile and 0-60. You get better gas mileage. You can fit 4-5 people in your car comfortably.
In every conceivable way, GTI > Tib GT. The only reason you could possibly lose by way of complete lack of skill with a manual transmission.