Yes, these mice are identical physically in every way, at least from the outside. The case, the connectors, all those are the same, except for te stickers and the model number.

Also, here's a good site for comparisons:

http://www.decodesystems.com/apple-mice.html

I have the first mouse, only the one described in the note. That's my M0100.

I also have the last one. That's the IIc Mouse.

Oh, I should also note that the IIc mouse has one screw at the bottom while the M0100 has two screws up at the top.