I don't think there is anything inherently wrong with having this feeling or opinion. We have arguments about all kinds of rules in sports, and this would just be one more. And it would be one more that, statistically, affects almost nobody. So, the reason folks who are adamant about this issue are called bigoted is not because they express an opinion like the above, it is because it very clearly is a pretext to punish a class of people they hate. I haven't seen you arguing for government mandates and calling out the transgendered as pedophiles and child molesters. If you're not trying to wage a political war on this simple sport rule making issue, then you aren't the problem. You if you don't think that passing laws limiting the participation of transgendered individuals in sports is one of the most important issues this election season, then you aren't whom the accusations of bigotry are aimed at.
I've not been coy at all. I think allowing more people to compete is generally a good thing. But, like you, I don't believe the government should be involved in rule making for sports bodies. Especially not for an issue that will impact only a fraction of a percent of the population in any meaningful way. Unlike you, I recognize the push for those laws for what it is: a pretext for bigotry and hatred.
No one in this thread has claimed sex is irrelevant in sports. I specifically addressed how important hormone differences are in determining physical attributes and you laughed it off as impossible to address because cycling has an issue with doping.
Your comment was about being glad to be living in a state where the laws protects your daughters. I just pointed the utter hypocrisy of being glad about a law that will "protect" them from an issue as rare as being struck by lightning while in exchange exposing them to health risk that every woman faces. The fact that you don't see that both sets of laws for what they are--bigoted laws designed to control and minimize certain class of citizens--is completely on you.