If there is a good time for unreasonable ask its today, Iran has strong incentive to say: you withdraw US troupes/bases or no tankers through the strait. If they don't do it today, they won't do it in next few decades.

Also, I don't think controlling shoreline will give anything: tankers are easily strikeable via drones/missiles from inner-Iran.

The only solution: is deep invasion supported with internal uprising with full defeat of current regime.