@pnwhilux
It sounds very possible that your glow system may have been damaged by your mechanic grounding it out. I actually made the same mistake long ago on my truck, and it blows a 'fusable link' near the battery positive.
Anyhow, to properly test your glow system, you need to start with a cold engine, and have an assistant. Hook up your voltmeter as you've described. Make sure you're clear of fan/belts. Have the assistant turn the key to 'on' while you monitor your voltmeter. You should see ~11V for about 7 seconds or so, and then hear a relay shut off. Have the assistant start the engine at that time. Keep monitoring the voltage, and you will see an after glow voltage around 5-6V for another 30sec-1minute or so. If it doesn't work this way, let me know and I can give you some ideas of what might be happening.
Generally though, your smoke issues will most likely be from one of these things:
1 - EGR system butterfly not working right and starving motor of air. The motor will be smokey for a long time after starting if this is the issue.
2 - Glow system not pre-heating the engine, making it difficult to start and smokey once it starts. The smoke should go away quickly once started if this is the problem.
3 - Low compression on one or more cylinders leading to missfiring and smoke. Smoke should go away quickly once the motor is firing on all cylinders.
4 - Air in fuel lines. Likely from a leaking primer pump, leaking fuel line/hose. This can cause your engine to missfire and smoke until the air has worked it's way out.
5 - Injection system issues such as faulty/damaged injectors or injection pump.
You just need to eliminate one thing at a time. EGR should be easiest to eliminate, as is the glow system. Compression is a fairly easy test. Where air gets into the fuel system, usually diesel gets out, so look for 'sweating' diesel. Injection system will be most complicated to test.
Regarding testing your EGR secondary valve as a potential problem, you just need to force it open and start your motor.
Here are a couple pictures I found that show what I'm talking about. First one shows the main and secondary (emissions) throttle plates with the intake neck taken off. In the second picture, the thing the guy is hold is what actuates the secondary throttle plate, and his fingers are on the throttle shaft that you will need to monitor (or force open).
You can force that throttle plate open just by attaching a vacuum line to the actuator. Or just remove the actuator so you can open/close the valve manually. Or, remove the intake neck, and unscrew and remove the little emissions plate. Or just visually monitor it when the motor is started. So many options.