Police having monopoly on (legal) violence does not mean the point of them existing is explicitly to terrorise people to the extent people are afraid to call them for assistance.
Only in places where they are allowed to become thugs is that the case.
Yes it is what you said.
You said they're there to carry out violence on citizens. That's not what the police are or should be for.
No. You're again thinking police are violent thugs everywhere.
That doesn't make much sense to me.
My wife gets sexually harassed at work... is she just not supposed to call the police? My car gets stolen... am I not supposed to call the police? I see a policeman in the street and I am lost, is it wrong to ask for directions?
I appreciate that the police may be far more militaristic where you live, I acknowledge that I'm lucky in that regard, but you should at least acknowledge that that stuff varies place to place. I don't think the belief that police should be/are only "violent labour" is a correct one.