If you haven't already, download and install Firefox. Then go get the Live HTTP Headers plugin for it.
http://livehttpheaders.mozdev.org/ With it, you can see, in real time, exactly what information the browser is sending to the server. This will include the remoteAddress as well as any app specific cookies.
At the moment, Javaranch isn't using MVNForum. It's still using a cgi solution that is not open source and was not put together by the moderators of this forum. The MVNForum version is in the works.
If Javaranch can shut someone off, even after they change IPs, then it's not using a purely IP based solution. It may be using a combination of IP and the cookies it sets.