What is the difference between AZ making a legal stop to check for immigration

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The AZ law allows for a law enforcement officer to check immigration status if you are stopped for a legal reason. We are told that this is wrong. Yet in many states you can be forced to to give evidence against yourself in a warrantless search by the police any time they decide to do it. I am talking about the police check point to check for drunk drivers. You can be driving and not do anything illegal and the police can make you get out of your car and submit to a breathalyzer test or a sobriety test. In other words you are forced to give testimony against your self. When you go through a check point you are stopped not for something you might have done not for something you have done. Why is it legal to force you to stop to see if you are drunk (not legally pulled over for breaking a traffic law) and illegal to ask a persons immigration status (a legal request) when they are picked up for a violation of the law?