Just to clarify, I wasn't talking about using TOR in my post. I found a certain configuration of Firefox config settings and Add-ons which will fail every CAPTCHA on any site. This is without a VPN, from my home IP address, which I found bizarre as that should be more than enough to identify me uniquely.

And your solution is good. But its kind of ridiculous that we have to jump through hoops like that to stay private.