I think you are SOL for the stock bluetooth microphone and integrating it with a non-stock audio control unit. Last time I checked, it was a proprietary connection and no one made an interface for it.
Your best bet would be to find an after market head unit that offers all the features you want, and is compatible with the Axxess steering wheel controller. I'm about one month away from doing HU, amp, and door speakers, possibly doing subs too. I just need to decide on a head unit, lol and purchase my wire.