First off, it was 2005, when social conservatism still had a following.
Second, this is Alabama, where this kind of sentiment isn't fatal. Yet.
Third, pretty much everyone has known that Roy Moore is a socon.
Fourth, it is fully consistent with Moore's views regarding law and the courts. This was shortly after Lawrence v. Texas declared sodomy a constitutional right and struck down an Alabama law making it illegal. Moore has been a consistent critic of that kind of judicial activism.
Fifth, the alphabet soup lobby has overextended itself horribly as of late and to assume they have the empathy they used to have would be a grave error.
This doesn't have to be fatal.