AP says they aren’t concerned with bloggers copying a passage then adding their own thoughts, but will send cease-and-desist letters to those who, say, copy entire articles with no commentary.
I’ve always made a point of quoting as little as possible, then adding my take on it. Not only is this more obviously fair use, it also makes the story your own. Of course, you can always just stop linking to AP completely. Reuters or someone else will generally have articles about whatever AP covers too.
While there are lots of shades of gray here, copying an entire article with no added value almost surely is not fair use.