Well I just picked up the neon from the dealer. They have a $99 specail Transmission Service. I said I wanted ATX-4, and was willing to pay for the differance in price. They didn't charge extra, and there is a checkmark on the receipt where the Tech indicated that ATX-4 was used.
I drove about 10 miles, including some steep hills. It is definitly shifting better than it was. My problems were intermittant, but I can tell there is a differance. Hopefully, this has fixed the problem.