Go to one of their meetings wearing your "I Love to Hunt" cap. I'm sure many members of AWA will quickly answer your question.
The AWA certainly is strongly connected to 'anti-hunting' organizations. While their website does not include any direct wording to being opposed to hunting, (except for predators, AWA has openly taken a position opposed to hunting of bears, cougars, and wolves), the group does not support hunting.
AWA has done a tremendous amount of work to help protect areas of Alberta from industrial exploitation. I would like to support many of their efforts, but don't because of the AWA's record of siding with plans to exclude hunting from provincial recreational areas, example, the creation of Spray Lakes Provincial Park.