Hi Ryan,
Are you copying a mosaic dataset from SDE into another instance of SDE? If you are, the overviews will automatically be copied. All you need to do is right-click on the Mosaic Dataset > Copy > right-click on the other SDE instance > Paste. During the paste, the dialog will report what is being pasted into the geodatabase. You will see 'AMD_<dataset name>_OVR'. This represents the Mosaic Dataset's overviews.