ICE has no jurisdiction over American citizens. All they can do is detain/arrest someone obstructing their legal role: detaining and deporting immigrants. Further, all law enforcement, federal and local are trained NOT to handle that situation with a civilian by shooting them in the face while they are behind the wheel of a moving vehicle. He acted stupidly and illegally, which one suspects he knew since he fled the scene.

Additionally, federal officials are constitutionally prohibited from forcing their way into your residence without a warrant signed by a judge.

So while ICE has a narrow legal mandate, they have far outstripped those bounds.