[Iron Munro]

Obversely, for US citizens more muslims in the US also means more terror, more crime, more attacks on our culture, more attacks on Christains and Jews and less safety in our own homes and communities.

[alexander_busek]

Obversely, for US citizens more muslims in the US also means more terror, more crime, more attacks on our culture, more attacks on Christains [sic] and Jews and less safety in our own homes and communities.

Using "obversely" to introduce a rebuttal is incorrect.

Rather, the "obverse" of a claim is simply a restatement of the claim - without any change in meaning - in which an affirmative ("Some M are...") is changed into a negative ("Some M are not...") and the predicate ("G") is changed to its complement ("non-G").

So "Some M are G" → "Some M are not non-G."

The technical term, in Formal Logic, for such a change is called a "logical transformation."

The word you should have used (in conversational English - not, strictly speaking, Formal Logic) is conversely.

Regards,