I have both the "Facebook Like" and "Share on Facebook" widgets enabled on a site and clicking either one of them increments the count on both of them. The action taken by each of the buttons is correct... when clicking the "Like" link, the item is Liked on Facebook and not Shared and vice versa. Just the count seems to be affected. I also have the "Tweet Widget" enabled and this counter remains at 0 when it is used.