I do not think so. The clips are from old monster movies from the 50's. They are in black and white and the monsters are pretty lame-o. There is one clip where it shows a "giant" man being injected with a huge syringe being held by 4-5 normal sized men; I think that is probably the most intense clip that is shown.
In all of the times we have eaten here I have never noticed a small child crying or appearing to become frightened. The novelty of sitting in the car and getting a drink with a glowing ice cube seems to provide more entertainment that the movie clips themselves.