How would that work, exactly?
It seems that you're envisioning some kind of scenario where police officers are always able to harmlessly arrest people, without violence, 100% of the time. I don't think such a thing is realistic.
If you want police to still be able to use violence, even just as a last resort, they will inevitably end up harming or killing people, sometimes even accidentally or when the situation doesn't warrant it. That's unavoidable.
Unless of course, they end up just leaving, as they did here.
So which is it? Do you want some casualties, and police still doing their job, or no casualties, and police not doing their job?
I was responding to your question, which was, and I paraphrase, "If we reformed the police and they made the same decision in this situation would you trust them?" And no, I would not, because their response would be incorrect. This situation is one they should have resolved by detaining the man in question. How they would go about that is a different matter. I wouldn't think that the situation warranted weapons drawn, unless they came upon him waving that golf club around.
Perhaps asking him to settle down and be cuffed and taken into custody voluntarily would be a good first step. If that didn't work, physically subdue him without kneeling on his back for ten minutes. If that doesn't work, or he seems to be armed with a weapon that prevents approach, use a taser. Only when these options are infeasible should the police unholster their weapons. And even then they should only intimidate and not shoot unless the man in question shows himself to be an actual threat to an armed officer.
Now, if they attempted to subdue him physically and sadly they slipped and the man in question hit his head on the way down causing trauma that would be an accident, not a deliberate choice to use excess force. Accidents happen, ideally they shouldn't but they do, in that situation the officer in question should be investigated and the investigators should consider whether the response that lead to the accident was appropriate. And the officer or department can still be sued in civil court.
If the officer uses force and a complaint is leveled there should be an investigation and the officer should be allowed to offer a defense and an analysis of why the situation warranted force, which the investigators will the consider and either agree or disagree with. If they disagree, the officer suffers disciplinary measures and criminal charges, if they agree with the defense the officer returns to work.
Furthermore, the binary you set up is predicated on the police presently acting in good faith, which doesn't seem the case these days. I want the police to do their jobs, and I am willing to accept that casualties can occur, but when one does there must be serious investigation and actual consequences.
In this case the man was clearly breaking the law and the police should have intervened, they did not, and as such they did not do their job.
William Blackstone famously said that it is better that ten guilty go free than one innocent suffer, that's the attitude I have to policing, err on the side of caution when using force.