The idea will face horrendous resistance from colleagues, benefactors, and your own pride and urge to pull weight. To start over is to admit failure and requires working hard just to get back to where you started. It's about the most dismal turn a project can take other than abandonment. These obstacles are not without good reason. It's tremendously expensive to start a project over.
Companies fail because of it.
It usually takes desperation, a neglectful boss, or a lapse into mania to happen at all. I suggest it could be the natural course of wise design. The best way to learn how to do something really right is to do it wrong while doing your best. The more complex a project, and the deeper the unknowns, the better the chance that hindsight and horizontal thinking will turn up significant opportunities. Good design is transparent.