I did manage to obtain GPS data wirelessly using a Parallax GPS module and a Bluetooth Arduino! Unfortunately, I ran into problems when I tried to use the Bluetooth Arduino for both GPS data and control of the vehicle. In order to fix this, I decided to use a separate non-bluetooth Arduino to control the car.

In order to control the vehicle, I opened up the remote control for the car, and soldered wires onto the contacts of the control button. I then used the digital outs to feed power to the buttons. It almost works, but multiple controls often fire at once, causing an unpredictable motion. I believe incorporating some transistors may solve this problem. For now, the motion is random!

Here are some pics: