I think in the case of this movie, it's less a personal problem of a Fixed Attitude, and more a problem of a problematic Mindset. His own personal view of himself sources his turmoil throughout the movie.
The most telling line is when he says, "I did not see because I did not wish to see." This line of dialogue is about more than Moses as deliverer; it is also about Moses's character. Add to this the gists of "fear of god, fear of public speaking, being righteous, being politically right," all of which are really felt only by Moses alone (especially "being righteous"), and it places him squarely in Mind.
In addition to this, the influence Ramses has over Moses and others, is most clearly marked by his status as pharaoh, the power that he holds over them because of this. I think this is most clearly represented in the scenes immediately after the Egyptian priests "repeat" the effort of turning water to blood. The Israelites lose hope, and are less concerned with their freedom, and more concerned with how Ramses could affect their lives. That said, I do think this is a multi-appreciation moment, as both ideas come up.
Also, I'm certain that Moses as is a Be-er. He certainly does in many places, but he prefers to adapt, to be, when he has the choice. He is quiet and holds his place when he and Ramses get into trouble after the horse race. He makes efforts to feel more like an Egyptian when he hears that he might not be one. He adapts to the shepherd life after running to the desert, etc. All of this is done in an effort to resolve his personal pain.
On the other hand, Ramses prefers to take action in regard to his problems and problems around him. He dumps the water in response to Moses getting him into trouble. He is the first to speak up after the two of them destroy a building during a horse race. He immediately pardons Moses of his crimes when Moses returns from the desert, etc.
Feel free, though, to argue against this, and make the case for the other orientation, as I might just flip-flop again. (I know that I have a blind spot when it comes to the Universe Class.) I wonder, though, if these perspectives might not be fully fleshed out...