The alternative of having 2/3rds of the states requesting a Constitutional Convention is a bit frightening, who knows what would come out of that (tightening tinfoil hat).
Absolutely.
It would have to start in the House of Representatives. Then, a grass-roots campaign in the states would have to cause a ground-swell of support in their Legislatures. Finally, the Senate would have to be confronted with the question, "Why are you afraid of your own state legislatures? Why do you think that your own state would refuse to appoint you?"
-PJ