Physical filtration of aides virus (treatment)

Ok im more of a mechanically inclined guy and im sure there are a million reasons this is impractical but heres my idea. From my understanding the aids virus lives primarily in human blood. Now human blood like anyother fluid when left to sit will separate into its constituent parts by weight. The Aids virus and its hosts. being of a known density could be siphoned off of whatever level it occupied. So if a method of removing an effected persons blood allowing it to sit while keeping it oxygenated and full of nutrients allowing it to settle out and siphoning the appropriate levels replacing the blood into the effected person along with transfusions of blood from non effected persons to make up the difference being kept in a clean room while there immune system regenerates.

Im certain this would not be a cure but even if you only whipped out 60% of all viral bodies in the person then wouldn't this be an effective treatment? Assuming of course you could tack all the aforementioned.