You've admitted yourself that that current laws aren't enforced anyway. So by your own logic, the status quo is unacceptable.
If you want an analogy, here it is. You caught your 4 year old taking cookies, and want to punish him because cookies aren't good for him. But your soft-hearted spouse doesn't agree, and says that a four year old is going to take them if they're there. And unfortunately, like Congress, if you and your spouse don't agree, no punishment can work.
So you compromise. You agree you won't spank the 4 year old, and she agrees not to bring any more cookies in the house. Now whether or not the 4 year old gets the message on the cookies really doesn't matter, because there won't be any cookies in the house anyway. By the same token, the "message" you send to more illegals with an amnesty doesn't mean squat if it becomes much harder to cross the border in the first place.
And they will CONTINUE to break more laws, whether providing fraudulent documents or going further out of the clutches of INS....what illegal alien within the U.S., who is a criminal element within their native country, would ever out themselves to the INS?
"All illegal aliens who register by July 1, 2006, and can show that they were present in the U.S. on or before July 1, 2004, will be eligible for amnesty and issued a "blue card. Any illegal found not to have registered by July 1, 2006 will be deported."
So the answer to your question probably is "almost all of them". Any illegal who qualifies and did not register prior to July 1 is an idiot, because they've just thrown away their one chance to remain here legally, and for good.
Now you're changing the rules/laws all over again. There are already rules/laws in the books. They simply need to be enforced. This isn't like a marriage where the husband and wife have agreed to live with each other and have made a commitment to each other and their children. This is the sovereignty of a country, with laws to control its borders and processes in place to allow immigrants to legally enter.
What has happened is political correctness/greed run awry. Greed & p.c. have twisted the situation around to make it appear as though the illegal aliens are part of the U.S. family, whose feelings and well-being should come first and foremost. Rather than treat the illegal aliens as the criminal invaders they are, with punishments meted out, the rules/laws are being questioned as "fair" because it may be hurtful to the invaders, and those who illegally employ them.