Even if you argue that Obama has the authority to not enforce the laws on immigration and deportation and just leaves illegals here, how can you say that he further has the authority and budget (hint, hint, hint Republicans) to process their paperwork and give them IDs?
That would be like going past the idea that everyone gets 5 mph over the speed limit before the cops even look at you and then say that speeders should be given bright red license plates which allow them to speed.