Pardon my skepticism, but what difference would that make to rename or reorganize DHS into a different shape? If you want immigration enforcement to be nicer (which I think I support you on in broad strokes) the correct steps are:

1. Win elections

2. Pass laws (or win the Presidency, a cheat code that has been the main way most things get done since ... 2008 or so, and is basically effective unless the "thing" is kinda unconstitutional and SCOTUS is against you. Blame RBG btw for screwing Dems on that last part)

The reason why we won't get this outcome is that the Democrats stopped being serious about convincing the moderates to get onboard their platform, because they give too much of a platform to the people who just chant slogans like "No person is illegal!" Which, while I get the humanitarian point, reads to me like you'd really prefer that anyone caught here illegally should ethically just be let go, rendering the whole concept of borders, visa applications, green cards, all of that, a big joke on the people who follow the rules.

> Pardon my skepticism, but what difference would that make to rename or reorganize DHS into a different shape?

ICE, being under DHS, is part of the US security apparatus. It has a threat-orientation. INS did have an enforcement component, but it was substantially an administrative agency. Immigration enforcement agents should primarily be process servers, notifying people whose papers aren't in order either what they need to do to fix them, or when their court date is.