The only way to "open" the strait is by invading and taking control over the ENTIRE Iranian coast line.

That's completely false. Generals always try to fight the last war. That being said, this war is not over until the SoH is actually open, which it obviously is not.

Further, the lack of inbound tankers is only now starting to hit other regions. The spike in prices at the pump has so far been price gouging, the actual cost increase hasn't hit yet. After the shortage of supply hits, it still has to go through refining and distribution. This wouldn't be a quick fix even if the Strait magically returned to normal in an instant.