Your coil will be fine, after the pulse. The pulse will collapse the field, but when the pulse ends the coil will work again, same as the battery. Both are mechanical devices.
Basically the EMP will wipe out any electronic memory, that isn't hardened. Most military vehicles are diesels, so don't need hardening.... for the engine.
The diesel in your modern consumer vehicle has a engine management system that will fry with a EMP, so an older diesel will make a good bug out car/truck.
I don't know why everyone is afraid of points. They work. They have worked for quite a while now.
I have bikes with points. At the beginning of the season; I check the points for gap and erosion, put a dab of lubricant on the tampon(s) and ride. Not a lot of "messing".
I have more problems with bikes that originally had points and got converted to something else, like Wingboy.
I am kinda partial to magnetos. My Yamaha race bikes run a magneto/CDI hybrid system, that is good for 12,000RPM. (Points only work to about 9,000 to 10,0000 RPM, then they start to float. Not a problem on a 4 stroke where the points are on the cam, running at half the crankshaft speed. A REAL problem on a 2 stroke where the points are on the crank).