To some other truck of course. Now back to the OP question about the movable dizzy. yes it will move. The Vacuum advance moves the whole dizzy. About 10 degrees normally. To change the timing, loosen the clamp screw. CW is retard, CCW is advance. If it will idle, you can use a vacuum gauge to set the timing. Put the gauge on the manifold line that is at the center of the intake manifold. Adjust for max vacuum, then back it off a bit. You can then set the idle mix for max vacuum and you are done. A test drive up a hill will confirm. If it "pings" retard a bit and try again, when the "pinging" goes away you are done. I don't know what "solenoid" you might have on the dizzy? What you most likely have is an old "radio suppression capacitor. You can remove it if you like. If you are talking about the condenser inside with the points, well then I would change it with the cap, and points , and rotor. Add new plug wires and you have done a complete tune up. Fuel leaking from the carburetor is not good. Rebuild it and follow the instructions.You can check the vacuum advance by removing the line from the carb. And .....suck on it. If the line leaks it won't hold. If the advance leaks, it won't hold the vacuum. Fix as needed. Do one thing at a time. Test and go to the next if needed.

Steve H