Immigrants being beaten by ICE isn't multi-faceted, and the reason it seems stereotypical is because this is how ICE behaves towards immigrants. Perhaps, and I say this as gently as I can, you should look into why you take issue with the presentation despite its accuracy, rather than the fact that these actions are being taken against human beings who have done no one harm? What is the other facet you wish to present? That they're here illegally? Star Trek speaks against that kind of thinking. The idea that no person is illegal just for existing is a part of the Star Trek future.
If you're upset that Star Trek makes ICE look bad, it's because ICE *is* bad, and Star Trek is showing you that to challenge your thinking.