Depends.

If an overwhelming crowd can come together fast - arrest can be blocked and persons de-arrested. But it has to be overwhelming, so that no cop would think of aiming a gun.

Throughout the history of resisting repression - this arrangement is hard to spontaneously produce.

As a minimum, people would have to organize with the clear goal of interrupting ICE raids. They’d likely establish a means of communcation (most likely a phone app backed up by mesh networking) and dedicate resources to offering each other legal assistance later. Possibly, everyone who goes to jail for the hypothetical anti-ICE movement should be celebrated like a rock star (with their permission) and their families should be helped through hardship, to encourage people to undertake risky actions.

The other option - working underground - would be exhausting either ICE or a local police force by persistent sabotage against them. Neutralizing the ICE would have the aim of them organizing less raids, neutralizing police might have the aim of them not backing ICE raids. While more straightforward to accomplish, this approach would bring about high risk (e.g. accusations of terrorism) to people carrying out sabotage. To avoid this, sabotage would have to be carefully considered and low-key. Perhaps, for example, it would aim to upset the agency’s ability to process data - to know whom it actually wants to deport.

Of course, with local police, one should consider the potential outcomes of successfully neutralizing police: both their negative and positive functions would be neutralized, and people might start complaining about crime.

A curious tactical perspective becomes evident when thinking about this: police resources could be diverted in peaceful ways, with false reports.

When I think of how one might decrease police responsiveness to an ICE backup request, I can’t avoid thinking of nice movie scenarios: e.g. while some people are busy obstructing an ICE raid, some other reliably anonymous people divert police resources by calling 911 and reporting various violent situations elsewhere. Others create a traffic jam, effectively isolating the street involved from motor vehicle traffic. Backup will have to arrive on foot, after they’re done chasing the hostage-taking bank robbers who did not exist. :)

Violence begets more violence. This isn’t the way.

Always have an escape route ready. Do your thing then get the hell out of there.

While this sounds nice police largely have no fear of consequence because qualified immunity and even threatening to do harm against a cop carries big consequences. The truth is that lawmakers need to step up and make it clear what they’re doing is illegal, that way refusing an unlawful command or protecting yourself can be easily defended in court. Shooting a cop is only going to add fuel to the fire.