Not at all.
A people that reproduces at or above replacement rate continues to exist and a people that reproduces below replacement rate eventually ceases to exist.
Either a people replaces itself or it fails to.
Your original argument, verbatim:
There is no practical difference between using contraception and converting to Islam.You can look it up -- either upthread, or looking for it as an example in a logic textbook under "Fallacy Of The Excluded Middle".