I mean, are you serious? Do you still think this is 1967, the height of the Cold War? Britain and France? Dependent upon the States?
I'm surprised I'm even dignifying something so unabashedly twisted, but here I am: You could not be more wrong. Britain and France have never been subject to the military will of the United States, nor the political will of it -- the closest they've ever come was the Suez Crisis, in which they were force, by joint decision from the US and the Soviet Union, to halt their invasion of Egypt.
But shortly thereafter, France pulled out of NATO, and Britain has always been an equal partner in terms of Western politics. In more recent times, France essentially called the US on its bluff and told it to go shove it up its arse -- France and Germany wouldn't send their troops to die in an unwinnable war in Iraq, and the US couldn't force them to if they wanted to.
Furthermore, I might note that Britain and France, as heads of the Commonwealth and Francophonie, respectively, weild more international strategic power than the US does, especially now that NATO is broken.
Let me also continue to say that you totally just pulled the bit about the Navy out of your arse. As someone who served in the Royal Marines for seven years, I can tell you with absolute certainty that the US Navy may not and does not have any power to affect any aspect of military or economic naval actions outside of US territorial waters -- to do so would constitute a breach of international law.