Stickman contains a very useful feature to select the correct control point if they overlap each other.
To create a overlap, move one arm to the other on the Lion so two control points overlap.
Select the points by dragging a selection rectangle around them.
Notice the yellow help points that appears.
If we look close at the selected points, we see that they do not completely overlap. Stickman uses this difference and enlarging it by creating the help points.

Just drag one of the help points to seperate them.