Lost ignition keys, how to bypass the anti-theft system?

You can't bypass the security system with anything I know of. I would get a key and cylinder preprogrammed/coded for the car from the dealer, have your VIN number ready. Here is how to change the ignition switch out.

Changing the tumbler out in these cars is super easy. Please check out the images below.

Ignition Lock Cylinder - Non Functional
Removal

Remove the Passive Anti-Theft System (PATS) transceiver. For additional information, refer to Section 419-01.
Remove the ignition lock cylinder.
Use a 1/8-inch diameter drill bit to drill out the lock cylinder retaining pin.
Use a 3/8-inch diameter drill bit to drill down the middle of the ignition lock key slot until the ignition lock cylinder breaks loose.
Remove and discard the ignition lock cylinder and drill shavings from the steering column.
Remove the bearing retainer.
Remove the steering column lock housing bearing and steering column lock gear.
Installation

Thoroughly clean all drill shavings from the steering column and inspect it for damage.
Install a new ignition lock cylinder.
Verify the ignition lock cylinder operation.
Program the new PATS keys. For additional information, refer to Key Programming Using Diagnostic Equipment in Section 419-01.

Check out the images (below). Please upload pictures or videos in your response to the problem so we can see what's going on.