Well a couple of arguments are the sheer impossibility of such a convention happening, and the probability that nothing would be ratified even if it was held. This county is almost hopelessly divided. There are 26 states that went for Obama last election. Only 17 are needed to block the Article V convetion to begin with. Only 13 are needed to block any amendments. The math is against it.
Yes, that is the reality. However, it may not be necessary for a Convention of States to actually reach fruition with a ratified amendment. The process itself has merit and potential impact.
It’s this kind of common sense math that rules out impeachment as well. Conservatives need to stop worrying about pie in the sky ideas that can’t happen, and put that energy into focusing on the elections in 2014 and 2016. We are, unfortunately, stuck with the buffoon in the White House for now.