Philosophically speaking, there is no such thing as normal. Every person is unique. The common usage of the word "normal" relates to how closely you adhere to your cultures norms..folkways, mores, and whatnot.
in that sense, I am NOT normal as I reject American social norms, the most basic of which is my lack of a drive for social interaction. I have a small group of friends that I care about and hang out with occasionally, but that's all. I also have a distinct distrust of people and official organizations (including churches, large businesses, and the government) that lead most to label me as a conspiracy theorist.
tl;dr version: no I'm not normal...