Have been working with a third dealer, with coordination from HQ in Detroit. Short story is this:
1) After having the car for about three days, dealer called and said the cord that comes with the car is "only to be used in emergency situations" and that it was never intended to be used for regular charging (because the cord/plug gets very hot; was told this was the reason why the plug overheated regardless of which location I plugged it into; my home, parent's home, etc,). I was told (direct quote) "if you don't want to buy a (Level 2) charging station for your home, then you should question your commitment to this technology and maybe trade your car in for something else, and we'll be happy to do that." I asked if they'd take the car back and cancel the lease; they would not do that. They did offer to get me a new charge cord for $810 with no ETA on shipment as they are on back-order.
2) Given the above, I went to the dealer the next day to pick up the car and post it on SwapLease or LeaseTrader. When I got to the dealer, the tech (not the service adviser I spoke with the day before), said that a few moments prior to me showing up to pick up the car, he received a note from Detroit saying that Ford would send a new cord to me; no charge (however, shipment date is TBD as they are back-ordered).
So we have our car back, and it hasn't been charged for a month since the plug prong disintegrated and the cord became useless. No idea when the new cord will arrive. We're sort of on the losing side of the business case since we can't charge the car at home, and it's like driving a heavy, expensive, non plug-in CMAX.
To top it off, maybe I'm being a bit unfair, but being in the customer service business as I am, I was annoyed that the dealer knew we hadn't been able to charge the car for a month, they had the car for three days, and it had no charge when I picked it up. It would have been classy of them to have the car charged up when I picked it up I think, but they didn't consider it. To be fair, they did pick up the tab for the rental car.
As an aside about the rental car (just an amusing story to share), when I got the rental car, I noticed the gas tank was nearly empty. I travel a fair amount for business and am used to starting will a full tank (guess I'm spoiled). I asked the guy why I was getting a car I had to fill up right away before it ran out of gas. He said it was company policy to do that because they were losing "hundreds of dollars a month" from customers receiving rentals with full tanks, driving a total of 20 miles or less, not replacing the gas, and saying they filled it up (since the gauge didn't really move and still "full"). By handing out cars with a few drops left (the dealership is about 50 yards from a gas station), he said people have take the car to the gas station on their own first before they drive away, and the customers generally put more gas in the car than they use when they do that. You have to laugh :) I'm sure it saves them money, but you'd think there'd be a more customer friendly way to solve this than hand people rental cars with no gas in them (like a small gas charge for the situations he spoke of unless customer can show a gas receipt or something). Nevertheless, it was pretty funny.
Will post the next update when I get the new cord and then we will know if it was the cord or not.