Right, the US (or other country thinking to do the same) needs to have a plan to get around the mines, do everything they intend to do and be done in a few hours. Not actually impossible, but it is more of a bad movie plot than realistic.
They could disable the minefield without the houthis even realizing it. The U.S. military used dolphins to mark 100 mines during Desert Storm. They also use underwater drones to mark and clear mines.