This is actually a shrewd political move on Obama's part. By promoting Rice, he creates the illusion that she is in fact trustworthy, and that she was telling the truth about Benghazi. If she were to step aside or get fired, it would immediately bolster Obama's critics. By promoting her, he doubles down on his bluff, forcing our side to call him on it. If we do, he'll simply play the race card. We'll be told that Rice is being criticized just because she's Black.
This is how the community organizer works. It's all about head games, obfuscation and smoke & mirrors.