Of course if one is serious about “as long as it does not compromise morale”, Bush the Lesser’s statement is equivalent to “I’m opposed to ‘transgender’ persons serving in the military.”
My dissertation advisor, who was a man of the left, but liked to annoy his fellow-leftists in ways FReepers would appreciate, expressed his opposition to homosexuals in the military by asking (straight male) proponents of the idea whether they’d want to serve on a submarine with one.
If one is really serious about not compromising morale there are serious limits on how much ‘progressive’ social engineering can be done in the military. Of course these are based on the immutability of human nature, a fact denial of which is foundational to the whole ‘progressive’ enterprise.