No experience with bike tires but plugged car tires with poor results. If no one will patch it, have someone like Cycle Gear remove it and have a auto tire shop patch it.
Rode 30,000 miles, till it was worn slap out, on a patched truck tire with no issues. I think a plug effects the belt where a patch won't.
2002 Honda 919
2003 Honda CRF450R