The matching coil needs to be made from 12 guage enameled wire. This is the same wire used in motor or alternator windings. You can find small reels of it on Ebay if you can't find it locally from real electronics stores, not Radioshack.
Wrap the wire around a bolt the size of a spark plug thread (7/8ths?)with 9 turns and leave about 2 inches of non coiled straight excess on each side of the coil. Make a nice tight coil around the bolt threads then turn the bolt to spin off the finished coil.
Strip the enamel with a razor and smooth out with a file or emery cloth about a 1/4 inch on each end and solder 2 ring terminals on each end. Mount one ring terminal to a screw on the antenna body and the other will go to the antenna bracket which creates a shunt. Now with the antenna mounted, try to tune 40 meters by first getting as close as possible with the antenna coil, then start slowly and minimally spreading the shunt coil till you get the lowest match. An antenna annalyzer works real good here if you have one or can borrow one. Then check on 20 meters. You may have to adjust the shunt coil to find a good balance between 20 and 40 meters or you may have to take a turn or 2 out of the coil. 9 turns is a good start.
The more you spread the coil the less inductance value and the tighter the coil and higher number of turns, the more inductance. More inductance is needed if the feedpoint is less than 50 ohms or an SWR well above 1.8 if you don't have an analyzer. Less is needed if the the inductance value gets above 50.You have to keep checking between the 2 bands to see which way to adjust the coil.
What you are doing here is adding some extra inductance at the antenna feedpoint since mobile antennas are way short of any HF band and even with a loading coil in the screwdriver, the feedpoint impedance is too low, typically under 25 ohms and this extra coil will bring it back up to near 50 ohms.
Yes there needs to be an insulator between the antenna body and where it mounts to a bracket. Post a pic of the bottom of the antenna with and without that bolt.
It looks like a typical bolt and coax ring terminal style bolt might work or the more common CB 3/8 x24 threaded stud will work for a mirror mount style bracket or similar. Both these have the nylon insulator bushing.
Other than that just wire it up to DPDT monentary ON switch where the motor leads pick up a positive and negative on on side of the switch and reverse polarity of the motor wires on the other side.
It maybe easier and safer to buy a motor switch wired and ready to go from Tarheel antennas.com