Jack has no business in that final picture, as he's an utter failure in all of his endeavors. The Overlook's walls are reserved for, “all the best people” and him being in the center of the July 4th photo is the opposite of what you would expect. He didn't "correct" his family the same way Grady did.
What we are looking at in the July 4th photo is another vision like Grady's daughters, “Remember what Mr. Hallorann said. It's just like pictures in a book, Danny. It isn't real.”