OK - here is the latest.
So, I did as cgswss suggested and cleaned all of my ground connections (including frame, bolts, washers, etc). They are spiffy clean now. I took apart the starter/kill switch and there does not seem to be any "melting" of any kind. As of now, the starter seems to be working more consistently and the engine is trying to turn over, but it does not want to catch. Only one pipe out of four was hot after my attempt to crank her over. Also, during my attempt to crank her over, I noticed gas coming out the overflow tubes and beginning to form a nice little puddle underneath my bike. I pulled each of the new spark plugs and each of them were black and oily (very wet), with number 4 being the worse. As such, I cleaned the plugs off with a shop towel and checked for spark. I had spark on all four plugs.
Is this what they refer to as having fouled spark plugs? Could this be my issue now? If so, is my next challenge to take down the carbs (which I have never before attempted) and give them a good cleaning? Do I have this right? Honestly, tearing down the carbs has me a bit on edge, given their sensitivity. I know, I know, owning this kind of bike requires a very good understanding of the carbs, but still, I am dreading the challenge having never touched a set of carbs before. After the tear down and cleaning, will I have to install all new gaskets? After re-install, will I need to re-sync too?
Thanks everyone for hanging in there with me. I am learning a great deal about this bike with each passing day! I am going to keep at it though because I really miss not being able to ride her (that's right... keep thinking happy thoughts).