At least as of now Germany has a robust enough social safety net and decent path for non-university careers that make a "poverty draft" system as it exists in the US not viable.

On top of that there is a large dislike in the society against military system. To break that you won't just need "a few years", but likely ~2 generations of compulsory military service for both men and women (e.g. how Isreal does it), that forces a personal connection with the military for everyone.