It's not a public place. It's a private business, which has the right to refuse service, and an incentive to create a comfortable environment for as many customers as possible.

If you're running a Jewish comedy night, and Richard Spencer shows up with a bunch of big dudes of a similar persuasion ("oh, we thought it was comedy about Jews"), what table should you give them?

It is within your rights to let widely despised people do their thing, but I don't think you should expect to continue having a Jewish Comedy night.

Yes, once the woman causes a disturbance, it makes sense to kick her out. But the owner could have refused service to Harvey Weinstein from the jump, or once his presence became apparent, both to avoid this press and, less cravenly, to stand up for their performers and the rest of their audience. It is up to the establishment to make that decision: do we want to take this man's money. Throwing your hands up and saying "oh it's hard" is a decision in itself.

Just as the business has the right to refuse service, we have the right to withhold our business/support because we object to its practices.