The original version of Park's BBT-2 bottom bracket tool worked fine with square taper spindles but wouldn't fit over the larger Octalink/ISIS spindles. Park made a running design change a few years ago to make it fit the larger spindles but didn't change the tool's model number. The only way you could tell was that the packaging had a yellow sticker saying it was the new design.

One possible expolanation for your problems with the Token bottom bracket is that it is a 73 mm wide bb being installed in a 68 mm bb shell. Any chance that's the case?