The U.S. has been secretly moving ships for months. And Iran no longer has any significant naval force, it's all been wiped out. What is difficult to completely stop, short of glassing the entire country, is harassment by drones or other forms of "asymmetric warfare."
A naval force isn't required to control the Strait. Artillery, drones and missiles fired from inland can do that quite easily.
Every time the US shoots down a Shahed with a Patriot, the US is further from winning. The problem is that the USA is running out of US$4 million patriot missiles long before Iran runs out of $40K shaheed drones. And Iran can restock sooner.
https://militarywatchmagazine.com/article/new-report-us-muni...
https://www.scmp.com/news/world/middle-east/article/3357037/...