I have a SharePoint 2010 install with a single web site on port 80. I recently added a wildcard SSL Cert to IIS7 on the server and added a binding for my SharePoint site.
So far, so good. The SharePoint site now supports https://servername/sites/whatever just fine.
But I have users that want friendlier server names such as "engineering" and "hr", but here's the key, they want them on the same web site. This means http://servername/sites/whatever would be the same as http://engineering/sites/whatever.
Not a problem, I just had our server team create a couple of CNAME records and point them at the server, then used Alternate Access Mappings to get SharePoint to recognize them.
Now my problem
I can't get SSL working for the other names. I tried adding them through IIS, but keep getting this message:
"This binding is already being used by a product other than iis..."

Is this something i should even use IIS to configure? Can I do this through SharePoint Central Administration?