Even so, to prevent what you call "mob justice," a neutral "Atlas Election Committee" can be established to oversee future elections and such. If a vote on a certain issue needs to occur, the senate will take that vote.
This still encourages a system of mob justice, Senators are up for election every so often (at present 2/4 months looks to be the likely time frame), it will ultimately be the will of the majority that prevails as opposed to the will of what is right (although the two may on occassion be the same.
You have failed to answer an earlier question, which I will now repose: Does the President not find it slightly odd to possess two executive office staff (on top of a VP and what looks like 4/5 cabinet secretaries) whilst at the same time advocating the limiting of the number of
elected positions and the seeming abolition of any judicial check and balance on his power.