They resigned because it became evident that they had erred massively in buying lock-stock-and-barrel the USAF line on the obsolescence of conventional forces, downsizing the Army, Navy and Marines to the point of strangulation. They were both political hacks with no knowledge or experience of military or international affairs. SecDef was an accountant and former campaign finance manager worried about the national debt, and SecNav was a former campaign organizer with no naval or military experience worried about his political career. He was given the job of "putting the Navy to bed" and did as he was told. Both of them had been instrumental in Truman's razor-thin victory over Dewey in 1948. And the whole Korean War fiasco was instrumental in Eisenhower's 1952 victory..
While this might sound stupid but why? They did a good job in supporting troops?
Cheers,
Wes