Can someone help? I need to drive my dart tomorrow

The push button start was added most likely to bypass the ignition switch because it was wired incorrectly. There is a brown wire by the valve cover that I don’t know what it is for although it runs with the insulation that all other wires by the valve cover are with.
There was probably a little more going on than just the reversed between IGN 1 & 2. As best we can tell, the modifications were working OK until the other night. I'm not saying it was good design, but it worked and now it doesn't. So we're missing something(s).
The Petronix is going to the ballast resistor which it really doesn’t need to be, same with the tach wire.
That's not a bad location for the Petronix. At least its switched on/off with the ignition switch. If it drew a lot of current (like an MSD does) it would eventually be a problem, but my guess is that it doesn't. (There are 3 versions of Petronix. If you want to check on power needs, see if you can ID which version it is.)

Tach wire. Depends on the brand and model. I'm only familiar with the ones that use a pulse off of the coil negative. Look at what tach you have and we can look up how it should be wired.