Troubleshooting from 1500 miles is always challenging but fun. I might have seen typos in earlier posts but I think I saw SPDT (Single Pole Double Throw) switch being temporarily installed in place of magnetic switch. If you have used a SPDT switch I am sure it WILL NOT work. Pretty sure you would want to use a DPST (Double Pole Single Throw). I've done this before and it does work. ONLY Temporarily. It electrically makes the correct connections but does not provide the safety or robustness of a magnetic switch. Please replace with the appropriate mag switch ASAP. But as my son says "Run it Bub".
That being said, if you replace the magnetic switch with a DPST switch and it does not work there is a couple of ways to test the switch. Safest is to disconnect power from the saw and pull the switch out. Check continuity on the switch using a simple ohm meter. By that I mean hold the switch in your hand with NO wires connected to it. You have to do this with the switch completely disconnected. Turn the switch OFF you should see no connection (infinite ohms) between both sides of the switch. Turn the switch ON you should see positive connection (zero ohms) on BOTH legs. If this does not make sense to you, STOP, DO NOT PASS GO, DO NOT COLLECT $200 and get some help. I mean that with all respect. If the switch checks out, you got other problems. Could be as simple as disconnected wire someplace else or any of the other suggestions by posters above. YMMV.