What good is verification if it's not mandatory and backed up by penalties for noncompliance? You still haven't addressed your inconsistencies.
You have two choices.
Your 2 choices are:
1. Let illegals and their employers remain unregistered and anonymous, or
2. Convince illegals to voluntarily register themselves (and their employers).
I know, I know, you hate those two above options, deny them, and insist upon some magical 3rd way, but those 2 options are all that actually exist.
I'm not persuaded that those are the only two choices, as convenient as it might be for you to magically circumscribe the conversation as though they were.
David Dreier believes that mandatory workplace verification will work. So do I.
Once registered, we can verify compliance. That's something that we simply can't do for 8 million anonymous illegals and more than 1 million anonymous illegal employers. The scope of the problem is simply too large (bigger than the roundup in Germany of 6 million during WW2).
There are more than eight million illegals, not all are employed, and not all who are employed will be able to verify employment. The ones who can we can already find through the workplace verification program once its mandatory.
Your raising of the completely unrelated Nazi spectre indicates a flailing quality to your position.