I don't think you've thought this through fully. If you start calling the cops on some bogus claims, what's to prevent him from doing the same? This is purely

I don't think you've thought this through fully. If you start calling the cops on some bogus claims, what's to prevent him from doing the same? This is purely one person's word against the other's, so it isn't really going to work. There are criminal solutions to these problems where you're unlikely to be implicated, but getting the police involved in your conflict a priori is certainly not the way to promote success.