No.  AAAHC DOES NOT support abortion providers.  By accrediting an abortion facility, AAAHC is no more supporting that facility than when they accredit a PMC or cosmetic surgeon’s facility.  They take no position for or against abortion.  
They are pro-patient in all of their standards and requirements. AAAHC is an organization that specializes in establishing nationally recognized patient services and medically sound standards for ambulatory health care clinics across the nation, just as the Joint Commission does for hospitals. If AAAHC only provided its certificate of accreditation exclusively to one group of people who holds a particular philosophy they wouldn’t be a non-biased, respected, true third party provider.