One allowing the President to carry and a second prohibiting Vice President Cheney from carrying.
I was talking to a SS agent one time. Not only is Cheney a huge gun person, he could shoot. He often went to the range with SS agents and could out shoot most of them.
As to the president, since he's the highest LE officer in the land, head of the justice department, I would think he could carry under the LEOSA.
People would complain, rant and rave, regardless, people are always grumbling about something no matter which way you go, but I really doubt any president would be impeached for carrying a concealed weapon.