"What if this scene is set in or after 1965?" Then the costuming is wrong, and he is still singing into the wrong microphone. I know these details don't matter to a lot of people, and that's fine! I like a well-researched film, especially if it's about a pivotal cultural figure.
(I said the Sony C38 wasn't *introduced* until 1965. It wouldn't be widely available in the USA until later. And as a phantom powered mic, it certainly wouldn't be used in live settings until much later--the condensers you see on stage at Newport had external power supplies)
Beyond all that, there are hundreds (thousands?) of photographs of Bob Dylan singing into different microphones from this era. Why choose a microphone Dylan was never photographed singing into, and was never in wide use in the United States during this time?