that stamp, assuming your case will be granted by the officer at the interview, which is not a fact at all, would offer no help to you in domestic travel situation. You need to contact the consulate and ask them to create an ID page in your passport with updated picture or issue you a new passport. If you do not do that, you will need to wait until you actually get your GC to travel. BTW, a DL from any state would be sufficient to travel domestically.
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I agree. Very unlikely that TSA would let you through security at the airport with a passport showing a child's picture. They would have no way of verifying it's really you. I'd strongly recommend getting an updated passport.
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I agree with my colleagues and add that your ability to travel also depends on what happens at the interview, whether you have advance parole, and whether you have accrued unlawful presence.
J Charles Ferrari Eng & Nishimura 213.622.2255 The statement above is general in nature and does not constitute legal advice, as not all the facts are known. You should retain an attorney to review all the facts specific to your case in order to receive advise specific to your case. The statement above does not create an attorney/client relationship. Answers on Avvo can only be general ones, as specific answers would require knowledge of all the facts. As such, they may or may not apply to the question.