A general system error occurred: Internal error
Wow, that's real telling!
I tried restarting the SRM servers but no dice. I then opened a ticket with VMware support. I started a WebEx with the tech and after reviewing several SRM and vCenter logs, he really couldn't find the root cause of the problem. However, he did say that they've only seen this generic error with vCenter, not SRM.
We rebooted the recovery side vCenter and viola, I was able to login again successfully. It's the old saying - if all else fails, reboot!