1) As far as I know, there is no way. This is since the opening explorer only uses turn-based games.
2) Yes. Go to your games archive, and sort it by live chess games:
http://www.chess.com/home/my_archive.html?show=live
Then on the bottom of the page there is a link that says, Download All My Games in One PGN. Click it. They will then generate it and email it to you. After you have this, you can use this with a database program to sort your games based on specific openings.
two questions:
1) Is it possible to browse my Live Chess games through the opening explorer, so that I can filter their opening?
2) Is there a way to download *all* Live Chess games? I can see that I can select all per game and download the games of a certain page but is it possible to do this automatically for all pages?
Thanks in advance,
Pentagram