Hey MachWon,
Electrical problems and wiring are about as tough to diagnose online as you can get. However I would say, check your ignition switch.
I've had new Ignition switches be bad right out of the box and if you're using the original one, well, it's 40 years old.
As a matter of fact, I would cycle the new switch several times and check the ohm readings on it before installing it just in case. I had a brand new switch short out and fry my wiring harness on my 67. It was a true pain in the butt.
If that's not it, the best advice I can give you is to go to the following web site and purchase an electrical wiring guide for your 67 Mustang. It's only around 6.00 bucks.
Jim Osborn Reproductions Inc.
This thing is a life saver when restoring your mustang.