Allowing XY athletes to enter into female events is not a civil rights issue.
There are real civil rights issues for LGBTQ people. Safety and workplace discrimination are still problems. Pushing XY athletes into women’s sports just makes it more difficult to make any progress on those.
Ten years ago, the popular image of gay rights was a happy young couple kissing on their wedding. Why do you want to erase that image and replace it with a picture of a dude stealing a girl’s trophy? (Yes, a dude. Because that’s what the photo is going to look like.)
This is why you get accused of being a transphobe (even if that's not your intent, and I, for one, am willing to assume the best).
"Allowing XY athletes to enter into female events is not a civil rights issue"
Yes, it really is, because the question we are trying to answer is whether or not an action is discriminatory and when (if ever) such athlete should be allowed to enter. We are balancing the interests of the T in the LGBTQ against others, which by definition does make it a civil rights issue. I also note that you have the same issue in reverse-- forcing FTM XX athletes to play with the boys because they are on testosterone, even though they may not have the advantages of having had testosterone during puberty, but your answer there is also dump them all with the boys.
"There are real civil rights issues for LGBTQ people".
Last I heard you were cis so, given your prior argument, "who are you" to tell LGBTQ what they should and shouldn't be concerned with. Yeah yeah, lazy argument, but it's somewhat distasteful that you are implying "we accepted gay marriage so why do you have to keep pushing this stuff on us...shouldn't you be happy about gay marriage?" I note that the interests of the LGBTQ community aren't monolith either and there's plenty of discomfort between the groups. One famous joke from "Modern Family" points out the L and G probably have the least in common venn diagram wise.
"Yes, a dude. Because that's what the photo is going to look like".
This statement is probably the one most dripping in bigotry. It would surprise you to learn that back in law school I didn't want to spend my time doing stuffy law review work so I did legal aid work. My first client was a T who was being evicted because her landlord found out who she was and didn't like it (from friends that were visiting). The person transitioned fairly early in life, knew from the beginning they were T, and you could not tell for the life of you. Yes, it's quite possible the photo looks like something out of South Park. But that's not necessarily the case, and your assumption that it would be is frankly disappointing.