Let's ignore what's the actual intent is and focus on if abolishing the police is a good idea.
What do you mean by community based system? As in get rid of the police completely and people police their own communities? Or still have a police, reduced/and or reformed, but have medical experts and psychologists and the like have much more presence like what
@AmandaRose is saying. And why do you think its a better idea for whatever you mean?
Oh sorry, I guess I misunderstood the intention of your reply.
So, short answer: yes but, long answer:
In a capitalist society, it gets a bit iffier. In a leftist society, people would be armed (Marx famously said that the proletariat must be armed with guns and stuff) and a community will be there for everyones protection + help, there would be no police force. Like I mentioned, TOTAL abolition. The cops first job is first and foremost to protect private property, but also follow the laws (just or unjust) - let's say in a totally post-capitalist world, true communism, a moneyless/stateless society - there would be less crime. For instance, nothing to rob/burgle/steal/extort/launder/whatever, all peoples needs will be met - food/water/healthcare, there won't be drug charges (keep in mind,
almost 50% of the US prison system are in for drug offenses) based on laws that heavily affect minority populations, no borders means no "illegal" immigration. What you are essentially left with are rape/sexual assault and the like/murder. A lot of leftists theorized these things can be prevented by having everyones needs met and more access to safety nets/systems to catch these problems before they happen. And if it does, the general consensus is no prisons. The general consensus is that all communities will differ in punishment, be it true rehabilitation (our prison system is absolutely not made for rehabilitation as it stands), expulsion, etc. There would be still detectives since their role can be separated from the police force itself, to help track down who did things.
But that isn't the world we live in. In a totally non utopian point of view in our current capitalist society, I just don't know what it would look like. I think a good chunk of laws are unjust and I think all drug laws, for instance, should be abolished - but with these laws in place, it's not like a community run police force wouldn't run into these issues that heavily target POC (as an example). I think there needs to be
nationwide reform on policing, policies and completely do away with the systematic racism that is inherent in our current system and demilitarizing the police
nationwide would be an excellent start. Make it harder from bad cops to get their jobs back or job hop if they get terminated. Make it impossible for good cops reporting the bad cops to get silenced or in trouble. It absolutely has to be nationwide for literally anything to change though, either abolishing or dismantling and reforming. I think it's worthy to note that police as we know it is an incredibly recent invention, and before that things were typically held up to communities/individuals.
Some reading:
https://www.versobooks.com/books/2426-the-end-of-policing (free ebook for now btw)
https://www.penguinrandomhouse.com/books/213837/are-prisons-obsolete-by-angela-y-davis/
https://www.barnesandnoble.com/w/who-do-you-serve-who-do-you-protect-alicia-garza/1122750162
edit:
Just to point out, I do think more medical experts (especially psychiatrists) would absolutely be a good thing too and if I didn't present a clear enough picture - yes I think abolishing police would be good.