Did you look at the manufacturing date on the tires? The DOT casting tells you how old the tires are. Ford may have put on old tires in 2013? You never know.
Yeah that rot is really bad.
If the dealer won't do something for you - either take up the warranty with another tire shop, or have the dealer file the warranty for you. Pay the incremental you'll owe (you will probably get like 75% off) and ask the dealer if they will mount and balance the tires for free for you. That wouldn't be a horrible deal.
I've found the word "good will" seems to work really well.