Good point. Further consider that we have been operating in these waters for some time. How much you want to bet we have it instrumented with a SOSUS like array of sensors? No need to tow sensors and the product of the emplaced sensors could be collected and shared by our entire command, not just one boat. The Iranian Navy is the minor leagues and our guys will hammer them if only given the orders. They might get lucky if they start things off, but a short while latter they will all be deep in Davey Jones' locker.
You are correct, remember, not that many years ago we destroyed their entire navy in about 24 hours. Missles will be a short term problem as they will quickly cease to exist. The trick is to do as little as possible so as to not stir up Nationalist feelings that the Mullahs can use to their advantage. We want to bloody their nose and start a revolution, force them to focus on internal problems and forget Iraq, Israel, etc. IMHO