ScottJ, I think you may have a misunderstanding of the timeline in Moore's case.
It wasn't the Supreme Court that was the issue at all, though the media made it seem that way.
When the issue first came to court, it was ruled that the monument had to be removed. At that time, Moore had the option of filing an appeal and asking for a stay of judgement until the appeal could be heard. This was a simple thing to do and the appeal would have almost certainly been granted.
Unfortunately, for reason that have never been given, Moore CHOOSE not to file the appeal. Instead he decided that civil disobedience was the way to go and simply defied the order.
At the last, he tried for a Supreme Court ruling, but because proper procedure's hadn't been followed they refused. Good for them! Even judges should have to follow the rules.
Somewhere around here is another thread which has links to the pertinant documentation on this case.