You do not need this DOCTYPE only if you want it to pass the W3.org test, otherwise you should be fine and the OG tags should work. You can use the url url to check this:
http://developers.facebook.com/tools/lint/
I have done this many times, just using
<!DOCTYPE html>
I would just add a comment for this to extend what MicE said, but I don't have REP yet!
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