So you would use twice as many magnets and only use the + magnets when one half of the stir bar goes by and then use the - magnets when the stir bar has rotated 180 degrees and the other end is in that area? Seems that making the magnets reversible would be easier than doubling them.
Actually, I think you are right. I forgot that the stir bar has two poles, so it seems it would be necessary to reverse the magnet's polarity to make it work. My reason for suggesting eight magnets was to make it operate more smoothly and more powerfully. Six or four might work just as well, but I don't think only two would do it. This is all just speculation on my part. Just thinking out loud.
It sure was a cool idea, but looks like it might not be possible to build one easily and economically. Suitable magnets would be the key I thiink.