This has nothing to do with gun shows.
There are licensed dealers who run checks at gun shows (the majority of gun show sales).
Then there are private citizens who buy a table at a gun show. They don't run background checks. For example, I inherited some cowboy guns (1800's revolvers), and I've thought about buying a table at a local show to sell them, since I don't want to keep them. As a private citizen, I'm allowed to sell from my "private collection."
If you target gun shows, you are only targeting some private transactions.
--Is your goal to have background checks on all private transactions? If so, why mention gun shows?
--Or, is your goal only to have background checks on private transactions at gun shows? If the latter, I like that better, because I want to be able to give my guns to my kids without background checks.
Fake "private collection" unlicensed dealers should be targeted, by the way.