Tony Perkins calls it blacklisting and has this reaction:

“As one who took the oath to defend and protect our freedoms, I am disappointed that I’ve been denied the opportunity to speak to members of the military, in a non-political way, solely because I exercised my free speech rights in a different forum. It’s ironic that this blacklisting should occur because I called for the retention and enforcement of a valid federal statute.

I am very concerned, however, that this merely foreshadows the serious threat to religious liberty that would result from repeal of the current military eligibility law. Such legislation would not merely open the military to homosexuals. It would result in a zero-tolerance policy toward those who disapprove of homosexual conduct. Military chaplains would bear the heaviest burden. Would their sermons be censored to prevent them from preaching on biblical passages which describe homosexual conduct as a sin? Would they remain free to counsel soldiers troubled by same-sex attractions about the spiritual and psychological resources available to overcome those attractions?