All new car tires are warrantied by the manufacturer for defects. In 2000 when the Firestone/Explorer fiasco was at it's peak, Ford took over all tire warranties and most people had replacements for the Firestone Wilderness A/T tires replaced and Ford paid for the cost.
If you go to a Goodyear dealer, they will probably inspect the tires for any defects or damage first. If they find something wrong with the tire they will probably replace it with a prorated adjustment for the treadwear on the current tire. If the tires were damaged due to alignment problems, bad shocks, underinflation, or hitting pot holes, etc, they they probably will deny your warranty claim, but if it appears to be a defective belt or cord, they will replace it at the prorated cost. If you don't like Goodyear tires, there is not much choice in the matter. Such is the way of tire warranties.
If they don't find anything wrong with the tire, then you may want to try and have them balanced. If you don't like the Goodyears, then go somewhere else to buy new tires and don't waste your money on the Goodyears.
I have always had good luck with Goodyear tires. I have 23K miles on my 2003 Sport Trac and I had over 40K miles on the Goodyears I bought as replacements for the Firestones on my 2001 Sport Trac and both have had excellent mileage, no abnormal wear and no problems except for a few flats. I am pretty picky about tire inflation, rotation and checking for abnormal wear patterns. My only gripe with the Goodyear Wrangler RT/S tires is the poor wet weather traction, so I had my tires Siped which made a big improvement in braking and cornering on wet pavement.
...Rich