Can’t get iPhone contacts to MacBook Air; maybe because of Outlook Exchange?

My iPhone contacts currently sync with my company's Microsoft exchange server (Outlook).  So when I enter a contact on my company notebook computer (in Outlook) it shows up shortly thereafter on my iPhone.  I have a personal MacBook Air that I'd like to have the same contacts on.  I've tried syncing (by USB thru iTunes) my MacBook Air to my iPhone, but it won't push the contacts to the MacBook Air.  Is there a way to do this?  I've tried fiddling with some set-up options and did click on the Sync contacts button, but it won't do so.