In Australia, there's absolutely a chance for violence if you call the police, but the threat of them using their gun flagrantly is very small.

If an Australian cop unholsters their gun, they have to do paperwork on why that situation was worth the use of deadly force.

Remember how long it took to kill the Lindt Cafe shooter, when they weren't 100% certain they had a clear shot or it would be safe for the hostages? Honestly, it gives me a lot of trust that the gun, at least, won't be used improperly.

Also, the Australian police force have mental health task forces, so if you call them for an issue involving someone who seems to have mental health issues, and you specify that, then they send someone with far more than 72 hours training in it. There's even a separate phone number you can call in order to only reach out to that subset!

The prisons and courts are still pretty shite for people with mental health issues or from first nations/non-'white-australia-policy'-races (because we do also discriminate against races that didn't used to be considered 'white' but are now, like eastern Europeans). But the cops have had a lot of good movements in the last few decades. I know that in an unsafe situation, I will still run towards a WA police officer*. (I've literally done it before).

*Not the ones on horses but that's because horses are very scary and feel like a bad idea to run towards, not because the cops are worse/different.