In regards to the switch,
No doubt the designer of the switch had in mind sharing one device with 4 computers but I don't see any reason why it wouldn't work for switching 4 devices on one computer as long as you're willing to hack some cables
Yes, that can be done, but would be cumbersome or expensive, same as hacking it to a rotary switch.
The trackball and spinner have Type A (female?) USB cables, the switch has a Type A (male?) port and 4 Type B (female) Jacks.
Type A (Female?) to Type B (male) cable are cheap, but won't connect to the trackball and spinner.
You could probably do it with two A-B USB cable and 3 A-A MALE USB cables, but that would cost more than the switch just for the cables.
What SlayJ wants is something like a hub with a switch on it (actually that might be an easier way to do it) - hack a hub or an expansion header.