I agree with your implication that there is substantial grassroots opposition to illegal immigration. It is, however, highly uncertain whether such opposition would be sustained throughout the duration a crackdown campaign lasting months or even years. When one considers the political risk associated with a crackdown on illegals, and couples that with the fact that many elected officials who would have to support such a measure don't personally have to deal with the negative effects of illegal immigration, a crackdown is a non-starter.
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