Start at GCNP for a couple of nights. Then to Zion for a couple, then Bryce. Forget about Moab and Arches this trip. Not enough time and really hot in the summer. Instead, head straight to Durango. Do the NGRR. One or two FULL days at Mesa Verde. Make sure you get reservations for the guided cliff dwelling tours.
Petrified Forest is barely OK in my book. Consider getting to Flagstaff for Walnut Canyon, Wupaki, and Sunset Crater NM's. At 7700', not bad weather even in the summer.
With two weeks including travel time, you'll be beyond busy with this itenerary anyway.