Use a noid light light the link is a picture of a set. A lot of parts stores sell them.
http://www.autopart.com/tools/toolsmain/tool/T_3401.htm
The individual number is 3410. You can purchase a new ignition switch and try this, look through the small chevy forums I think Cavalier and there is information on passlock II using a resister to bypass ignition switch.
You have to reprogram it I left three links one tells how to do this.
http://www.alldata.com/ sells a years service for $29.95 you need wiring diagrams to bypass ignition switch. Also diagrams on pulling steering wheel pulling and other information.
Otherwise go to a shop qualified to do the work.
The security system shuts power to the injectors is why you start with a noid light.
manic mechanic left a lot of information.