Can we handle Iranian mines?

The ever-lovable mullahs of Iran have threatened to close the Strait of Hormuz by the use of mines, missiles and possibly blockships, in the event they are attacked, which, of course, they deserve.  We've prepared for missiles.  Can we handle mines?

This alarming post in PJ Media says we are extremely short-handed in the minesweeping department:

The USS Ponce, a lightly armed and slow-moving amphibious transport dock built in 1970, is about to be upgraded by the U.S. Navy. According to The Washington Post, it will become a forward staging base aimed at Iran.
[...]
The likely mission for the Ponce would be responding to Iran’s threat to mine the Strait of Hormuz and prevent oil tankers from passing through the Gulf.
The Navy probably plans to use the four MH-53 helicopters supported from the Ponce flight deck in counter-mine operations. Unfortunately, the MH-53 is old and has an aging mine sweeping capability. It will be hard pressed to do the job, and if it fails, there will be oil tankers burning in the vital and narrow Strait.
A better choice would have been the modern and capable Osprey mine hunters. Built in the 1990s on the design of the Italian Lerici-class mine hunter, Ospreys have fiberglass hulls to minimize the chance of setting off a magnetic mine. Equipped with excellent sensors, they played a major role in clearing Soviet-type mines placed in the Gulf by Iraq during the First Gulf War. They not only cleared transit waterways, but also proved effective at clearing mines from harbors, including Basra, and have significant advantages over helicopter anti-mine systems.
Too bad Navy infighting forced the liquidation of the Osprey program in 2007.

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