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I don't think the give-him-some-of-his-own reaction shows "how weak the defense is for this side of the argument".

You may be taking the reaction literally, but it likely just means this: If we mock this politician by threatening to apply his policy to himself, it may begin to dawn on his supporters that he is wrong.

So folks are just making fun of him, and rightly so. I just think that this particular joke may backfire (see my other comment).