People are just interested in peeing.
Also this is a female only issue, because guys don't give two shits if a woman dresses like a man and opts to use male facilities. In contrast women are assholes and have a strong desire to cause trouble, because they are awesome at doing that.
Talking about how people are going to pretend to be transgender in order to catch a lackluster peepshow with random old and ugly women in a bathroom is ridiculously farfetched and just a fear reaction and bullshit scenario. They are not going to see anything more in a woman's bathroom than they would outside of it (women use stalls).
It reminds me of the Jewish girl in high school that was deeply offended by the fact that people celebrated Christmas.
Get over yourselves, urinate, and go about minding your own business. If you have a problem with this, piss at home, or search for a bathroom with less people. People need to stop searching for reasons to be offended.
And no, if I had a daughter, I wouldn't give a shit if a transgender wanted to use the same bathroom as her. I wouldn't view that person as any more or less dangerous as a non-transgender. Actually no, in most cases, I would actually view them as less dangerous.
Transgenders have a lot to deal with in terms of public perception. The chances of them causing trouble in a public bathroom are far less in my opinion.
This whole issue just comes from whiny crybaby selfish spoiled brats that don't realize that the live in a human society where we all have to try and get along.
People making serious complaints about this should be forced to shit in medieval parasite infected toilets that cause their intestines to explode so they can get some actual perspective on reality and learn to appreciate their luxurious lives instead of being spoiled assholes and products of post 2000 society of "my feelings matter."
How about this: It bothers me that women can use the same restaurants as me, cus creepy women might use it as a food fetish peep show to watch me eat while masturbating in public to me chewing food.
It's absurd.