Ahhh yes, as I see it, it is a .exe. That might be a prompt for a self-extractor though. If you have any extracting software, winrar, winzip etc, you should be able to manually remove the files yourself.
I apologise for this oversight.
As for the unofficial patch, I think it was assumed to run on an already patched version. It should work on its own, but I imagine the problems it addresses are an extension rather than a sole solution. If you ever manage to successfully extract the official patch files I would still incorporate them. And it's as easy as removing/deleting the files from your Fallout2 directory to revert back to a previous version, if you ever felt the need.
Either way, I hope you enjoy the experience, whether it is your first or not
-Formerly FalloutChris. But apparently was confused with Chris Taylor :p