If the States ever did convene a Constitutional Convention it would probably be an ugly scene.
Not true. In 1992 Congress, after being surprised by the unexpected ratification of the 27th Amendment, finally got around to regulating the amendatory process with respect to housekeeping. It also took the 1965 American Bar Association report on a Convention for Proposing Amendments (the correct name) and codified it into law.
Read "A Convention for Proposing Amendments...as Part of This Constitution", which is a primer on how the 1992 law would work.