A similar question was posted entitled "Software to control mobile phone via bluetooth" over at Superuser.com on 11th December 2012 to which I responded:
http://superuser.com/questions/517884/software-to-control-mobile-phone-via-bluetooth/517888#517888
My response was this:
A program called Remote Professional from mobileways.de claims to be able to make calls from your PC-mobile(and therefore achieve partly what u wish to accomplish). There is a brief article about it entitled Remotely Control Your Phone from Computer from Technize.com
A youtube video and link to download the program is also included: http://www.technize.com/remotely-control-your-phone-from-computer/
However this method used a PC rather than an Apple Mac. It may well be possible that mobileways.de offer a similar program for Macs.
So in theory what you have asked is perfectly plausible.