What is most curious is that you say it only sporadically taps the <ALT> key (I assume that's what you meant). You can't just randomly short a USB connection and have the computer read it as an "ALT" keypress, certainly not reliably, otherwise you'd be getting other random keys being pressed as well. You have already tried a new keyboard (presumably not the same model of keyboard) and the issue persists, which means this is not something inside of your keyboard.
If you are positive that this is not merely the result of
Sticky Keys becoming activated, then I would start trying to disconnect all other USB devices (yes, even the mouse) to see if it is repeatable. If it is, then you are looking for some misbehaving piece of software that is emulating keystrokes. If not, then it is probably something to do with your mouse.
--Patrick