I use a Summit Automotive tach on my CB400F race bike. I set it to "Four Cylinder" mode. The bike runs a Dyna S ignition and one of the Dyna diode adapter things to pull a signall off both coils. Works like a charm.
Don't have specific input on a points system, but it really shouldn't matter. The points and the Dyna S essentially do the same thing.
Are you sure that the tach works properly?
Tracy