Yes but that was on an x230, which has a starter relay. The later models do not have a starter relay.
@wavehead please confirm that the battery symbol illuminates on the dash when key is turned? Also is there any record of the engine earth strap being changed? These are a known source of problems
The starter circuit for fhe x250 as others is fairly simple. From fuse at battery positive to engine bay fusebox. 30A fuse to ignition switch.
Then from ignition switch to starter solenoid. As suggested , solenoid should give a pronounced click when operated. The return path to the battery is via the engine earth strap to chassis, and then battery negative braided cable.
The solenoid has the task of engaging the starter pinion with the flywheel, before switching current to the starter motor.
If all else is OK is the smaller (solenoid) wire at the starter OK?
It is possible that the aftermarket alarm system is wired into the starter solenoid circuit, and excessive voltage drop due to the added wiring is causing the problem.
Is this the vehicle that has a "frozen" clutch? If yes, then have you blown the CAL fuse at the battery positive when attempting to start in gear?