I think you might be being a bit harsh on Ike on that one. Ike and Patton were counter parts to each other in many ways. Ike, the consummate politician, but possibly a weak field commander. Patton, the ultimate field commander and a terrible politician.
Recall that after the notoriously overblown 'slapping' incident, it was Ike and others who fought hard to save Patton's job and get him back into the fight. That was done for one primary reason: Ike recognized Patton as being the best we had.
After the War to do what Patton proposed would never have been unacceptable to Truman, Congress and the American people. If Ike had not reined him in, Truman would have, just like he did Mac.
Ike read the writing on the wall, Patton was just a better predictor of the lack of character in the Soviets.
Remember also, Patton believed he was a man of destiny, born to serve one primary purpose: to defeat a strong opponent thus preserving that which he was fighting for. He achieved that, and I am sure, departed the world content with what he had achieved.
You are accurate in all you say. I just love Patton and was defending him in a general (no pun intended) way.
There'll always be an argument as to who the greatest general in American history is. Some would argue MacArthur while others will scream for Patton. A few could make an argument for Bobby Lee while some would say it was WT Sherman.
IMHO, the most brilliant general in American history is George C. Marshall. This guy managed to keep such disparate personalities as Mac, Ike, Patton, Bradley, and Clark on the same wave-length without going insane.