I agree that the F-86 photo probably was taken at Stewart. F-86s were based there during most of the 1950s.
It appears to be taken on the old USAF ramp (now the terminal of Stewart International Airport) with Stewart's distinctive wedge-shaped hill in the background:
But the FB poster doesn't offer any reason for his "most likely from the same show" assertion, and neither the hill nor the hangars are the same ones as in the B-57 photo.