Jim..
I believe you need continuity to keep the alarm off. The manual isn't too clear, but I would think they designed it so that any wire break etc would cause the alarm to activate rather than needing continuity to activate the alarm. Ensure level is good on both front and rear brake reservoirs, as both have a float switch.
So if you unhook the CMS harness and you have have continuity on the white/black wire to ground the alarm should be off. No continuity...check each switch , and then the wiring to ground.
If you have good continuity and reconnected the CMS continues to alarm.....then as Thom pointed out...probably a solder crack in the CMS unit.