Considering that lesbians have no physical advantages over other women in aggregate and are only a fraction as likely to commit acts of sexual assault as men are, I don't see why.

There is a RATIONAL reason for men to be restricted from women's facilities. There is no RATIONAL reason for women to be barred from women's restrooms.

Another problem that emerges is: what to do with biological women who look like men?

What does that even mean?

being a voyeur or touching someone else's ass/boobs/whatever doesn't require a lot of strength.

fully transitioned trans men are still biological women

Physical advantages are definitely helpful when it comes to rape in particular and it is above all the threat of rape that causes women to fear the presence of men in these spaces. The power of voyeurism comes substantially from how real the threat of rape feels.

As to fully transitioned men, okay, I'm not too worried about them. They're probably not a sexual threat to me, considering that they no longer have penises. The fully physically transitioned sorts though, those who have undergone surgeries and whatnot, are a small minority of those who identify as trans today. They're less than 10% of the total.

according to the CDC domestic violence is more common in lesbian relationships than in heterosexual relationships

https://www.advocate.com/crime/2014/09/04/2-studies-prove-domestic-violence-lgbt-issue

"The CDC’s 2010 National Intimate Partner and Sexual Violence Survey, released again in 2013 with new analysis, reports in its first-ever study focusing on victimization by sexual orientation that the lifetime prevalence of rape, physical violence, or stalking by an intimate partner was 43.8 percent for lesbians, 61.1 percent for bisexual women, and 35 percent for heterosexual women, while it was 26 percent for gay men, 37.3 percent for bisexual men, and 29 percent for heterosexual men (this study did not include gender identity or expression)."

this implies that the issue isn't as clear cut as you are saying

Love who you want to love. Fuck who you want to fuck. Or, if it floats your boat, don't fuck anything. It's all good.

I just hate it when people don't have any personality aside from "I'm different because my sexual preference is different" and that is all they can talk about. There should be so much more that defines you than what you do with your vagina.

That's my biggest issue with all of this sudden gender identity stuff. Sometimes it just seems like a cry for attention. "I'm a Nintendo fan but I like Xbox and sometimes I love PlayStation. I need attention. Look at me!" It doesn't make me special. Nobody really cares.

Gender is nothing more than a mental disease.

Gender is a fenotype associated with the sexual genotype. (the genes composing the XY and XX cromossomes for man/woman).

Something crazy people yell at me about when I assume it