In such an ideal world, the neighbors could then charge the Airbnb-owner for the value he derives from their presence making the AirBnb a desirable option (after all, AirBnB markets its services to people who want to "live like locals), and for any negative externalities imposed upon them by the AirBnb, such as increased traffic, liability risks, etc.

Ya, some kind of externality pricing there might be reasonable.

Zoning is there for a reason. Airbnb does not follow zoning for commercial or hotel/motel regions and invades on residential zoning. The zoning system would work a lot better if Airbnb did not literally break the law. People buy residential apartments and houses then rent them out on Airbnb because that is a more profitable business model than leasing them to new tenants or selling them. If there needed to be more house zoning, then the price of prime real estate in a residential zoning area would be worth more to lease than rent out.

> The zoning system would work a lot better if Airbnb did not literally break the law

The zoning system was completely broken long before AirBnB showed up. Yes, Airbnb does exacerbate the already existing issues with zoning laws...but that's not an argument for eliminating Airbnb, it's an argument for eliminating or changing zoning laws.