Don't get swayed by her calling you baby. It means nothing. She will soon revert back to the ice queen. Just you watch. Do not mistake this for any kind of a good sigh. It is not. She still has waaays to go. She is not baked yet, not nearly.
As to her enthusiasm when moving out, again you are using yourself as the cause. You are not the cause. The simple fact is that she has been holding you responsible for her unhappiness for so long that when she decided to move out, she thought that now that you are out of the picture, everything will be aces. Well her rose colored glasses shattered some and she is beginning to realize that it is not the case. Her divorced life is not going to be all roses and champagne and frankly I think it scares her something awful. She has yet to wrap her brain against it all.