Well... actually... I did veneer a metal door for a client using a door skin.
While is doesn't freeze much down here, it does get hotter than hell. I did not put the veneer on a french style door, but put it on the inside of a smooth interior door that was in need of dressing up.
I put the door on the horses, and sanded off the primer and paint to clean metal. Then I used 3M contact cement as usual. Trimmed the veneer with the same belt sander. Finished as usual. No problems at all.
If I were looking at changing the molding on the glass, I really think you should reconsider. That is part of an insert package, purchased by the door manufacturer. Most are made to certain specs to maintain a desired "R" rating and to keep the water out. If you have double paned glass, you should really leave it all alone since the glass insert is made to fit the moldings, which are made to fit the door. You don't want to take a chance on screwing that up, believe me.
Paint the moldings a complimentary color to the new wood veneer finish and call it a day.
My .02, anyway.
Robert