There are historic inaccuracies, so I stand partially corrected. But I don't think the film distorted a sense of the era or the historic context.
It depends on what the focus is. In this case it appears that LBJ was turned into a foil to illustrate other themes. It’s a very common dramatic device. I love ‘Amadeus’ but it really is a slander of Antonio Salieri - who was apparently a very decent and charitable man.