I haven't seen the movie, but the storyline doesn't sound at all original. The basic premise, that altitude is equivalent to status, has got to be prehuman: When you sleep in trees, you learn that shit flows downhill. The top is literally the best place to be.

Englishman Gulliver towered over the swarthy Lilliputians, but in their sheer mass they brought him down.

In HG Wells "Time Machine", the Eloi, degenerate descendants of the blonde plutocrats, lived above ground,

while the darker descendants of the laboring class were condemned to live underground.

.

It seems as though, as time goes on, the stories get more and more clearly like Elysium. Remember an episode of Star Trek called The Cloud Minders?
The plutocrats lived in the clouds,

while the proles toiled below ground in the mines. And rebellion was in the air when the Enterprise arrived. Gotta wonder if the writers of Elysium knew about it, it's so close.

I think you get the idea about the general "class warfare" premise. As for the med bays, medical care that's scarce and rationed out, often as a means of controlling a population, seems like another old sci-fi chestnut. Though a bit more recent. I remember it coming up frequently in the dystopian novels that became popular in the '70s on. It was often part of a world (or solar system) run by corporations, and if you were lucky enough to get a job, you were guaranteed to be healthy and wealthy. And if not, you died sick and quick.

(I called that dystopian, but of course that's a matter of perspective. To Ayn Rand that kind of universe would have represented a utopia.)

If you really must put the story into a political context, simply consider that the story line is a popular one, and a persistent one. It speaks to something in an awful lot of people. Maybe not you, but too many people to be swept under the rug. Economic inequality and denial of health care are morally wrong in the eyes of many, the people you think of as liberals or socialists or lefties or whatever. If you grasp that, you'll have learned something about us. Far from being "moral relativists", we're actually rather absolutist about these things.

Elysium: Pure morality tale.