When you say nothing, do the lights still power up, or do they not work either? If they don't, your cylinder is beyond busted.
In my car the clutch doesn't need to be in if the car is in nuetral, so I doubt its that. Starters usually don't just die though, they go bad over a period of time. Pus it should still make some noise.
The only time I have not heard my car make a noise when I tryied to start it was when I hit lock on my keyless entry (double locking the car with me inside) and then tried to start it. The car powered up, but the starter didn't even hum. Perhaps you have a malfucntion with that system and part of the car still thinks its double locked.
<span style='color:gray'><span style='font-family:Courier'>1995 e36 3 Series RIP
1999 e46 3 Series BURN IN HELL
2000 MR-S Roadster= Current</span></span>