Bad idea. He's received the Medal of Freedom, and quite deservedly so. But the Medal of Honor would be a grave dishonor to every previous recipient.
I understand that you do not agree with my suggestion, but a grave dishonor?
That I do not understand.
Mr.Beamer, acting with unusual perspicacity and initiative, used his cellular telephone to ascertain enemy intentions, which were not obvious. Then, he made a decision to attack enemy forces to prevent the deaths of innocent civilians unknown to him personally, with no regard to the likely death of himself or the other American forces following his lead.
I do not think that any recognition that his heroic actions might receive could possibly constitute a "grave dishonor" to anyone.