Yeah, I think it could be done. You would need to be clever, though, not retarded. You would want to plug the crimped wire ends from the solenoid into the molex connector for the sear solenoid, and pull the sear solenoid (and the sear) out of the frame. Then you plug the solenoid into the socket for the sear noid.
If you want to use eyes, you'd have to use an E2 board. you need to figure out which order to plug the wires into the eye connector to make the emittor and detector work correctly. I'd would just use trial and error, and a molex connector from one of my many killed breech senosrs (I knew there was a reason not to through anything away!)
You don't plug anything into the cocking solenoid plugs.
Next, you make a plate with holes to thread 10-32 to take the grip frame screws from the eblade, and holes spaced for the Timmy body, so you screw the plate onto the bottom of the Timmy and then screw the eBlade onto that plate. You would need the plate to be thick enough to mill a place for the solenoid. In fact, I would get most of the plate milled away. It would be pretty heavy if it were solid.
If you did it this way, you would use the SON for dwell. I think that the voltage to the sear noid is 5 volts, and I believe the Timmy nois uses 5 as well. I might be wrong there, though, so it is worth double checking.
Incidentally, this is a retarded idea, but it is doable if you don't care that it is retarded.