Unfortunately, names are not necessarily unique.
When I sold my previous home in 1997, I discovered that I did not have clear title to it, due to a lien. I'd had no idea there was a lien against the property, but it had been there for 10 years. Somebody with the same name as me had stiffed some company for payment on something. The creditor had simply gone to the telephone directory, looked up the name and slapped a lien without ever notifying me or verifying it was the right person. According to my realtor, that's a common practice.
The challenge, then, was convincing the bank that I wasn't that guy. How do you do that? He lived in the same city as me, just a couple miles away. He was about my age. Fortunately, the bank took me at my word. Had they not, I really don't know how I would have proven it without additional identifying information.
In the cybersquatting case we're discussing, the original registrar of the domain was named Ron Paul. You
shouldn't lose the rights to your own name just because someone more famous than you shares it. But he lost those rights when he sold the domain on eBay. (There are, however, plenty of precedents for people losing the rights to their own name. There was a restaurant in Michigan called McDonald's that was forced to change its name even though it was the proprietor's given surname. )