I've seen a couple of retired generals who have said it would be an error to try to place troops on Kharg. First, it would require an amphibious landing, since the battle ship coming from South Korea would be an easy target if it attempted to get closer than the eastern coast of Saudi Arabia. The distance between there and the island would make an amphibious landing almost impossible. More, if troops did land there, they would be sitting ducks, easily hit by weapons in the system of deep caves on the Iranian coast, as well as the missiles within the country that we cannot stop.
It is terrible that American military deaths have already happened. And for what?
Perhaps the greater danger for the world today is that, desperate for an off ramp, the president declares victory and cuts US involvement, leading to a greater destruction of Israel. Our "news" is not covering how much damage Iran has been inflicting on Israel. Should this continue, the chances of Netanyahu resorting to the use of nuks increases. Should that happen, life as we know it will change significantly.