The 650 field is wired differently than a 550 or 750. The 550/750 have one side of the field, the green wire, connected to ground through the wiring harness. The white field wire is supplied a varying positive voltage from the regulator. On the 650, one side of the field is connected to +12 volts, (always black), and the other end of the field is connected to ground through the regulator, in varying amounts.
To use the earlier reg, you need to connect the black field wire to the white reg wire, and connect the other field wire to ground. These connections will have to be done at the ends of the field wires themselves, not through the stock harness.