Do a search on eBay or Amazon for "latching button".
After you find one that matches the look you're going for, check out the specs. You want one that can handle at least 15 amps.
If you can't find one that can handle that much current or you have your heart set on a button that can only handle a small amount of current, we can include a relay.
A five pin automotive relay will do the trick. Most are good from anywhere from 20 to 40 amps.
On the relay, Pins 30 and 85 go to the red wire from your ignition switch. Pin 87 should connect to the brown, brown/white, and black wires from your ignition switch. Pin 86 goes to one pole of your button and the other pole of the button gets grounded.
If you're not using a relay, one pole of your button goes to the red ignition wire and the other pole of the button goes to the brown, brown/white, and black wires from the ignition switch.
To bypass the kill switch, unplug the black and the black/white wires from the right hand switch gear. On the harness side, plug the black and black/white wires into each other.