Rule number one, its usually not the track. It almost always has more to do with your suspension or power management.
You certainly should not change the gears. One trip to the track does not warrant making any big changes. You need to get the car to hook first before you start throwing parts at it. With a better 60' you have a solid 12 second car. One tenth faster in the 60' is worth 2 tenths up top. What suspension work is done to the car?
Rule 2, stay off the factory rev limiter! It pulls fuel and leans your motor out. This can do serious engine damage under a load. Ask me how I know this lol