The Congress, whenever two thirds of both houses shall deem it necessary, shall propose amendments to this Constitution, or, on the application of the legislatures of two thirds of the several states, shall call a convention for proposing amendments, which, in either case, shall be valid to all intents and purposes, also as part of this Constitution, when ratified by the legislatures of three fourths of the several states, or by conventions in three fourths thereof, as the one or the other mode of ratification may be proposed by the Congress; provided that no amendment which may be made prior to the year one thousand eight hundred and eight shall in any manner affect the first and fourth clauses in the ninth section of the first article; and that no state, without its consent, shall be deprived of its equal suffrage in the Senate.
Nothing in Article Five permits a rewrite of the Constitution. It just allows a Convention to directly propose Amendments to the states instead of using the Congress to propose them.
Who do you think will CERTIFY these conventions as legitimate? Do you really think the House will do this? It will be, ultimately, the Attorney General. Hillary's Attorney General.
Guess nobody learned anything from the convention to amend the Articles of Confederation.
There IS a time for such a convention of states, and that is when CONSERVATIVES control the presidency and 3/4 of the states. Until then, you will get Eric Holder deciding who is "legitimate."