I doubt it would touch the members of Congress at all. They are mostly millionaires to begin with and the small (cough -cough) salary is little compared to the benefits they are offered by lobbyists and special interest groups, and the subsidies they vote for their own interests.
Second reason it can't work is that it would take an act of Congress to get criteria created. We all know how non-partisan they are when working on any legislation. Since they have only are in session about 1/3 of the average worker's time, it would be difficult to get it out of committee even if someone like Bernie Sanders had the stones to write such a bill.
If the committee, mostly likely the Oversight Committee, did actually look at it then it would be tweaked so that when it came out of committee it would probably include such things as:
Start a war with the wrong country on fabricated evidence. Double salary
Get caught with cocaine. Spend a month at the local country club at tax payers expense
Get caught creatively editing in depth reports requested. Head the Oversight Committee
Go on trips to hot spots and come back bad mouthing POTUS. Claim title of elder statesman
Encourage gay bashing. Get an award for representing rednecks
Work to destroy every safety net for the young, the old and the infirm. Be asked to hand out a MLK award.
Go on talk shows and show your lack of basic knowledge. Be placed on Intelligence Committee
Deny Climate Change and evolution. Be placed on the Science Committee
As long as lobbyists and special interests control our government through gifts and campaign contributions, We the People, can have little effect on politicians once they are in DC. The answer is to not elect by being an informed voter, or if the person, once elected does these things, vote them out.
We have got to find a way to keep money and politics separate, I agree. As long as we have the fox guarding the hen house I suspect nothing will change.