Both headlamps blew at the same time ?

Ok, so voltage in and out of ignition switch are good. Ignition side of ballast matches the wire coming from ignition switch at 6.5v w/ key in run. The other side of ballast is only reading 10.6v, shouldn't that be close to battery voltage? Also found a semi burnt wire in my headlamp switch connector, the green wire that feeds the dimmer switch. I did check voltage drop with headlamp switch disconnected and it was still 1.4v.

The other side of ballast is only reading 10.6v, shouldn't that be close to battery voltage?

If this is "switched" 12V or ign run, then yes.

Again, the path this takes is where you check. You need to traced back and forth. It's "easy" on paper, but not so easy in the car. For example, the ammeter connections are difficult, the welded splice nearly impossible

So check the easy stuff first and work towards the problem.

Example. Say you check the IGN 1 (run) coming out of the ignition switch and it's OK. This means the red battery wire coming through the bulkhead, the ammeter and connections, and the IG switch and connections are all good.

Most likely suspect is the IGN feed going back out through the bulkhead.

Example. Say you check the battery coming IN to the ignition switch is OK, and the IGN run going back out is low. This means the problem is "right there" either in the switch connector or the switch.

You have to wiggle stuff. Just touching your probe, say, to a bad bulkhead terminal might make it "better" (acceptable) or "worse" and show up the problem