I know there are a number of secular people who are successful in AA
I met an athiest in AA who told me that
truth was his higher power. I definitely could not argue with that. A Dog, cat, or dare I say doorknob may draw a comment from me.
A power greater then me could be "we". I think you will find that AA is a bit more inclusive, especially if you are an alcoholic. I have been to some great Agnostic AA meetings.
OK, AA has a huge religious influence, so do calendars, so does farming, so does everything we come from. It all goes back to religion.