Voltage drop is caused by current flow through a resistance.
@Alibro,
your battery voltage should not drop that low with the ignition in position II - this is the first problem to be isolated.
If it's glow plugs, the relay will click off after a few seconds. If not, pull and replace fuses and relays until the voltage climbs back up - having first noted your radio security code. You will hopefully find the circuit responsible and can then pursue that avenue.
If no joy, I strongly suggest a voltage drop check along the main battery cables. Load the system by turning on the headlights and measure the voltage between engine block and battery negative. Measure the voltage as well between battery positive and everywhere the heavy positive cable goes - starter post, fusebox busbar etc.
You have to locate that voltage drop. Although your bypass switch logically suggests the relay or its feed, this might be a red herring - I had an internally corroded earth strap on ours that caused many problems like yours, but was dropping several volts just with the headlights on and causing the various ECUs to shut down upon cranking. I didn't measure the feed to the starter relay but I guess it would have been disappearing.