If ever there was a constitutional amendment needed, it is one that forbids legislation to be moved, short of war or catastrophic circumstances, after an election has taken place until a new congress is seated.
I would be 100% in favor a Constitutional amendment getting rid of Lame Duck sessions. There is no reason with modern transportation that the newly elected Congress cannot be ready to go from Day 1 after the election. That is how they do it in the Westminster Parliamentary System. Once the winning party of an election forms a gov’t the politicians voted out of office immediately leave town. You saw this dramatically when Cameron was able to form a minority gov’t after the latest UK election. When he went to the Queen to get Royal Assent to the new gov’t Gordon Brown immediately vacated 10 Downing Street.
Actually, it would make more sense to simply collapse the period between the election and the newly electeds' assumption of their offices. The current two months (or two and as half months in the case of the president) is simply unnecessary in today's world. Originally designed to allow newly elected officeholds time to arrange their affairs before embarking on what, for some, could have been a two or three week carriage ride to Washington, the long delay now is simply an archaic remnant from a bygone era.
Frankly, there is no reason why, in today's world in which you can get to Washington in a day from the farthest corners of the nation, a newly elected member of Congress couldn't be sworn in on the day after the election is certified. Why continue a lame duck in office for two full months, a period of time he or she would not be able to do anything (under your proposal) but would still be drawing their full government salary.