Standard procedure is to give the beginning of the article and let readers decide if they want to read the rest. Picking sensational quotes out of context doesn't give a clear idea of what the author's argument is. When you realize that a lot of the people writing back are posting on the basis of your excerpt, not of the actual article, it's all the more important not to skew things by picking the most controversial quotes.
Point taken. But sometimes it takes several paragraphs before one gets the full intent of the article. My goal is to get optimum readership of the entire article.