Not intended as a strawman, merely an analogy:
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Man robs a banks. Uses the money to educate his kids. He gets caught. The money is recovered. The kids now suffer because they didn't get an education financed by dad's criminal behavior.
Woman crosses the border into the U.S. She wants her kids to have a better life. She gets caught. However, this time the kids won't suffer from her illegal behavior because some citizens want to "give her a pass" on her crime.
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I don't define myself as racist because my godfather is a first-generation Mexican immigrant and one of my roommates is the son of legal Mexican immigrants and two of my cousins are half black. Regardless of that, I think that anyone who breaks the law should suffer the consequences. I understand that innocent children will also suffer, but they need to blame their mother and not the American immigration system.