That's possible. It's also possible it will trigger a "DUH!!!" moment in the public, who assumed all the time that being here illegally was a serious crime. We're now being told it's the equivalent of a 25 in a 20 zone ticket.
Every poll I've seen says the public is behind strong border controls, including a fence.
This shows that it is wise to have governance of law, not popularity polls. I see two camps of anti-immigration: the W-2 wage slaves that are certain that nobody else pays their "fair share" via a 1099, and those that claim all illegal (non-W-2 extorted) immigrants are participating in criminal enterprises. It is almost as if some people believe CBP has been unfunded, but Marine Inspector has provided solid information that CBP is working hard and very effectively. I will agree that ICE has issues, yet they are an administrative law bureaucracy.