These pirates are making me thirsty...for some naval warfare

Here's a simple observation in light of these pirates attacking every boat on the other side of the atlantic. Cut your losses and sink their ships! They are on boats, which should be just as sinkable as the Titanic. The British have started to fight back; my lack of foreign policy experience doesn't provide me with any reason why we (or Russia, or whoever else) can't do the same. I can't imagine how pirates have somehow created a united naval presence rivaling us, Russia, or whoever else.