In reply to Nigel Modern:
Depends on the route, though. I've done a few ADs and have never felt the need for two tools; depends if the route is a rocky ridge or icy face. I admit that on an AD-graded North Face I might be more comfortable with two axes instead of one.
To the OP, I would suggest that if you already have a Cirque, buy a Fly hammer. That way you can comfortably tackle Grade III routes in Scotland or routes harder than AD in the Alps. When you feel the need for something more technical, you can always get a Fly axe to pair with the hammer.