I don't think I recall anyone calling him James T Kirk in the movie. We know that Kirk's dad didn't really like the name as a first name but I wonder if the change in timeline affected some future discussion they have were they choose to make it a middle name. Granted I think it would have been a funny nod to fans if the Kirk in this universe is named James R Kirk. Nobody but us Trekkers would proably even get the joke but that wouldn't be a bad thing.
Jason
Jason