Sorta works that way in Canada too. At a DUI checkpoint where they pull over everyone without reasonable cause, the stop is supposed to be strictly to check for DUI. They’re not supposed to go poking around for more things unless it’s incidental to the stop (if they see a dead body, they can investigate that, but not supposed to decide to check your immigration/license/insurance status as a part of the stop).

They'll ID you if you did something wrong. If not, for instance if they're randomly pulling over cars to check for drink driving and you're clean, then they don't need to ID you.