I make the kit your speaking of on the Delphi boards. Before going all out on the ignition switch its self being bad you need to do some systematic checking. First is the battery up to voltage? 12-13v. Check and clean the ground and power connections. Check the main fuse, use an OHM meter. The fuse is located on the left side, below the regular fuse box and you have to remove the floorboard to get to it. Yea I know real convenient huh. Also check the connections there at that relay point. Mine worked fine, got home from a 3000+ mile trip 2 days later went out to run to store and nothing. Main fuse was bad.
There are a couple write ups around about cleaning the contacts up in the OEM switch to get a few more miles out of them. I would recommend installing the by-pass relay no matter what the out come may be.