I do not think African-American are analogous to transgender, although that analog underlies a lot of leftist analysis of this issue.There you go, bringing facts into it again
I think the question for recruiters should be, "Does this recruit make the military stringer/better/more lethal to the republic's enemies?"
Stated conversely, does the blanket exclusion of members of this class hurt the military? A bigger recruiting pool (probably) means access to better recruits. Excluding women, black people or left-handed people, for example would restrict the recruiting pool for no objective benefit. Opening up recruiting to women, blacks, and left-handed people probably means better recruits. Not that left-handed people in general are better than right-handed people, but one particular left-handed person might be really good at some important military skill and arbitrarily excluding him because he is a member of a group would rob the military of his services.
On the other hand, paranoid schizophrenics are probably grossly under-represented in the US military and that is probably a good thing. paranoid schizophrenics have mental issues which will likely undermine their effectiveness on the battlefield.
I think the military in general, but during the Biden Administration especially, opened access to groups previously excluded, so I revert to my original question. For a particular man (who believes he is a woman), would the military benefit from having this guy included? For example, how firm is his grasp on reality? Does he have emotional issues of which transgenderism is a symptom? If being "misgendered" induced debilitating stress, how will he react when somebody is seriously trying to kill him? I think those are legitimate questions.