Well, if it will push start, then there is nothing wrong with the PTCM / RCM / fuel supply.
That kinda narrows it down to the ignition switch or pulse module.
The member over in Mississippi found he had a bad wire from the PTCM to the Pulse module a month or so ago ....
( the pulse module is located in the under hood fuse box next to the fender after you remove the top, then the second cover. )