On my Source computer I have Migration Assistant Update for Mac OS X Snow Leopard 1.0 -- but that shouldn't matter anymore as I have the Time Machine backup from the Source computer directly attached to the Destination Mac Mini.
I have reviewed the Lion Server Setup PDF and the only instructions are for Server Setup Assistant on Lion Server. These instructions describes what one does during intial setup. I am now currently past that original setup ... which is why I am trying to run Migration Assistant.
Server Assistant is not an app that is available to me anymore... or more specifically, I don't know how to trigger the "start from scratch" mode of my Lion Server instance which would bring up the Server Assistant again. So, the only thing I have available is the Migration Assistant which of course just states "Looking..." all the time.