So... I'll chalk this one up to PO (previous owner) shenaganins...
I got the plastic disk off (Dremel to the rescue), cleaned and lubed everything and put it all back together... no joy. Still no park.
Upon closer inspection I discovered a cut (not broken) wire on the harness side of the plug for the wiper motor. (I should probably have tested wiring first)
I soldered up the wire, shrink tubed it and... (with the wiper arms raised to avoid running the wipers on the dry windshield - it's a brand new one!) I ran them and... IT PARKS.... On intermittent it does one cycle and stops in the same place every time! Running on low or high and turning it off it returns to the same place! SWEET!
I lowered the hood and the arms to check everything again and.... DOH... the Park position is mid windshield... NOT at the bottom. UGH.
Ok, I'll just pull the arms and remount them at the bottom position and I'll be golden.... right? WRONG. Turns out the first movement of the arms is down(!)... so with the arms remounted at the bottom the first movement is to try to wipe the hood! Ugh.
Ok, so long story a little longer;... I pulled the lever arm from the motor, rotated it and reinstalled a few times until the first movement was up.
WTF did the PO do? I speculate that they swapped in a new wiper motor and when they reinstalled the lever arm to the motor they got it on wrong, resulting in the arms not cycling or parking properly. Instead of fixing the problem they just cut the park wire and from then on they shut off the wipers at the bottom manually - I can't imagine why they thought this was the best solution.
IN ANY CASE - I now have it fixed with wipers that park as they should.