I reject Obama’s entire premise that “if Congress won’t do what must be done, I will”. Who says ANYTHING must be done? If the people, through their elected representatives, say no to legislation on amnesty or anything else for that matter then that is just the way it is.
Congress has no obligation to act, and Obama’s “here I come to save the day” schtick is yet another deception (or is that now ‘gruberism’).
Congress has acted. Several congresses, in fact, have written an elaborate array of immigration laws designed to prescribe the rules by which a petitioner becomes a citizen. I’m pretty sure there is already a provision in the laws describing the disposition of those who break into the country. I suggest the president simply have his flunkies run a search and do whatever the laws already determine should be done to such individuals.