Syncing iPhoto libraries between Macs is not supported by iPhoto, only the sharing of photos. You can share your photos in iCloud by adding them to the Photo Stream, and then you can import them on other macs, but that will not sync any changes that you do to the photos after sharing.
It would be best, if you imported your photos directly to the mac where you want to start editing them. And afterwards transfer the whole library to the mac where you want to archive them.
Is you MacBook Air the machine that you use to archive your iPhoto Libraries? If I need to work on a library on more than one mac, I store it on an external drive and connect the drive to the mac that I want to use to work on the library, just like described here: