A Constitutional Convention (Con-Con) is a dangerous tool. Once it's convened, there is no stopping it from changing whatever it wants, regardless of what the stated intention is. Former Chief Justice Warren Burger, opposed convening a constitutional convention in a letter he wrote to Phyllis Schlafley when he said:
"I have also repeatedly given my opinion that there is no effective way to limit or muzzle the actions of a Constitutional Convention. The Convention could make its own rules and set its own agenda. Congress might try to limit the Convention to one amendment or to one issue, but there is no way to assure that the Convention would obey. After a Convention is convened, it will be too late to stop the Convention if we don't like its agenda."
I would oppose this particular congress from doing such a thing.