Yes the government wants to treat everyone as a possible criminal and collects fingerprints for this reason. There is absolutely no logical reason for collection of fingerprints for a driver's license. Collecting fingerprints doesn't make driving safer in any way. Making driving exam more difficult and having to take it more often would make driving safer, limiting the speed would make driving safer, but fingerprints wouldn't.
Nobody, surprisingly, our regime doesn't require us to provide fingerprints yet (although that might change; our government loves to say "we just do the same thing all Western democratic governments do, so don't complain"). The punishment for not having valid "papers" is usually a fine (the fines for not having valid documentation related to military service were significantly increased recently for obvious reasons). Unless they close the border, I think we don't need to worry.
Also I always thought that it is weird, having to take driving exams to get an ID and calling an ID a "driver's license".