Nice one, Rich!
I know that connector well; I messed with a few of them in that area when I replaced my battery cable ends and had to re-lead the positive cable to make it all fit. I ended up with similar problem - I unplugged the 2-wire connector between the starter switch and the starter relay, which lives in that same spot (white connector, IIRC, black and white/blue wires). The little bar that secures the lock tab for the connector busted right off when I pressed the tab to release it. I secured it with some "twist-wire", but I'll have to watch it in case of starter issues in the future.
There isn't much spare wire there, but has anybody ever replaced these things? If so, does one get a matching OEM fitting, or is it easier or better to buy a different connector, say from NAPA or some other such? Rich may want more than just electric tape keeping his bike running...