The standard starter solenoid should have just two wires that connect to the wiring loom, as well as the two heavy duty connectors that take the current from the battery to turn the starter motor over. It does sound as though you have a differant solenoid to standard...in fact one that I have from a Honda CBR1000FH. This one has either a diode or a fuse on the side of it...forgive me as I havn't seen the item for a while, so I am working from memory. If it's a diode, this is there to stop any back EMF from affecting other components...this EMF emanating from any component that has a coil, like a solenoid.
So, if you were to put +12vdc onto one wire, & earth/chassis on the other wire, you should get a circuit between the two heavy duty connectors.