I think the biggest problem with a Constitutional Convention is there are no longer any God-fearing educated men that are smart enough to do a better job than the original.
I think you are probably correct. The problem is that no one on "our" side is even seriously considering the question. All you get is moony love-odes to the founders, and to the Federalists, even though they were gravely mistaken about many things. Mixed sovereignty, the supreme judiciary, implied powers, etc.
All the way down to the grass roots, it is impossible for people to imagine a better system. They just rattle on absurdly about how great it would be "if only" people would follow the Constitution. As if everything that has occurred hasn't occurred under the Constitution.