Actually, sir, you are not correct when you say, "that ice is composed of salt water." Au contraire, mon ami... If you melt some of that ice the water is almost pure! It is NOT composed OF salt water. It was made FROM salt water and that is NOT the same thing.
As the ocean water begins to freeze, small needle-like ice crystals called frazil form. These crystals are typically 3 to 4 millimeters in diameter. Because salt doesn't freeze, the crystals expel salt into the water, and frazil crystals consist of nearly pure fresh water.
I was on Viet Nam GI bill when I took 14 upper division semester hours of physical oceanography in the physics department at San Diego State University so consider the above mini-tutorial as yet another federal tax rebate.
It has been years since I had an opportunity to dredge up those old memories. Thanks...
Oh, if anyone want some interesting reading (real science not hyperbole) then
Icelights: Your Burning Questions About Ice & Climate
Pat