Filters do not belong to projects, they belong to users, so no, there is no way to "disable filter management for a project". The relationship isn't there, there is nothing to do.
As for "include information that should not be shown", that's also going to run into the "filters belong to users". The important thing here is that users will NOT see data for issues or projects that they can't see. That makes me suspect that you actually need to do absolutely nothing. Because a filter won't show people stuff they have no right to see... assuming that you have secured your Jira correctly
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