Whilst I agree with you that their comparison is in bad faith I would also argue yours is too.

Most western countries these days are hardly theocratic like the Muslim led ones currently are.

That being said the Christian equivalent would be the Vatican City, but even then there are some massive differences such as the absolute monarch being elected and their position not inherited.

But I do agree that the things happening in supposed Christian states are not the same or equal as those happening in Muslim states.

Although I would be curious to see an alternate history to see if its simply the difference in religions causing this or because of the technological, democratic and educational revolutions that happened in Europe which has seen the decline in religious thought and power throughout the regions.