To shut down the anti-theft system on a 2011 Chevy Camaro, you can try a few troubleshooting steps:

1. Use the original key: Insert the original key into the ignition and turn it to the "On" position. Leave it in this position for about 10-15 minutes. This might reset the system and allow you to start the car.

2. Disconnect battery: If the above step doesn't work, disconnect the negative terminal of the car battery. Leave it disconnected for about 15-20 minutes. After the time has passed, reconnect the battery and try starting the car. This may reset the anti-theft system.

3. Check fuses: Inspect the vehicle's fuse box for any blown fuses related to the anti-theft system. A blown fuse can cause the system to malfunction. Replace any blown fuses with new ones of the same rating.

4. Try a different key: If you have an extra key, try using it to start the car. Sometimes a faulty key can trigger the anti-theft system. Using a different key might help resolve the issue.

If none of these steps work to shut down the anti-theft system, it is recommended to consult the vehicle's owner's manual for specific instructions or reach out to a professional mechanic for assistance.