The issue with charged particles, as I understand it, is that they will be deflected in directions having to do with their interaction with the field due to their charge as well as to their spin, rather than due to spin alone, as is the case with things like atoms. However, electrons would still ultimately end up at different points of impact depending on their spin, despite being deflected off the path a neutral particle would take.
However, even beyond that, I was looking at descriptions of the experiment, and saw the schematic of a long magnet marked as being a north monopole, with a trough in it, and a large, wedge-shaped monopole on top. Is this a schematic that doesn't explain the true complexity of the magnet, or is the magnet actually that simple?