Your point is also valid.I agree bringing religion into everything is counter-productive. This is not the way to preach. But at the same time it should not be annoying for muslims to read religous references. You yourself mentioned Islam being broad spectrum.Hence its involvement in everything should be understandable. Rather it annoys people which is unfortunate for the followers of Islam.
A better response would be
No i wont allow my wife/wives
to wear anything against islam or anything outside the decency/modesty laws of Islam.But even such a response would have had the same result. The antireligous would ve been like "not islam again. We re tired of islam. Dont mention its name". Those of religous disposition would take it from there.
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