You left out the Eisenhower did nothing to challenge Joe McCarthy.
On the other hand, he apparently set up the modern structure of the federal government.
Truman should have supported Ho Chi Minh and told France to get lost.
Eisenhower really disliked McCarthy. It was not politically expedient do do anything at that time.
Wasn't politically expedient for Truman to fire MacArthur...that didn't stop him, and it turned out to be the best decision he made in office.
Wasn't politically expedient to try for Camp David, or normalize relations with China just before that, yet both were done. And ya' know what, neither of those two were well respected Army Generals.
So don't try that, he easily could've done things to discredit McCarthy and framed it as good, and given his personality and accomplishments, he would've been widely believed. Only psycho-fringe John Birchers would think otherwise.