Your statement is probably a more accurate description of the 73 war than 67, but clearly Israel could have changed the alignment of the middle east, with our permission. IMO, today, better for America, and better for Israel.
But America was an ally in 67, but not a strong one militarily. In 73 America (Nixon) was, and that's where we might have secured American domination of the middle east, through Israel, but then I think the Russians would have backed down, maybe they wouldn't.
America is certainly Israels strongest, most loyal ally today.
Sinai Peninsula, Gaza Strip, West Bank, Golan Heights
Israel would be more secure if it had kept the land it gave up.
Why would any country relinquish such land gained in a war.
The land it gave back was larger in size then Israel itself.