Facebook's policy on real names only has got it in some PR hot water in the past, when it forced members of the LGBT community to use their legal (but not preferred) names. But it also seems like it has a track record of stupidity when it comes to the Native American community.
Google+ may be the best thing since sliced bread, but you'll have to use your real name if you want to join the club. Your account could be suspended if you use a fake name like Harvey Wallbanger. [Business Insider]