Regarding the bathroom/gender law in North Carolina...

Yes, they will. People who go into the bathroom can be quickly and legally removed from the bathroom and charged. Unless you want to make the case that transgender people are psychopaths who will go into the bathroom anyways.

If you're "legally removing" someone, then obviously they've already entered, no?

Your meme is flawed; Allowing people with permits to carry guns helps prevent gun violence. Allowing transgender people in a bathroom not only does not prevent perverts from getting in their, but it allows men to walk in their and prevents their motives from being questioned.

No, Im not saying that all transgender people are pedophiles/rapists/perverts. Im saying that any reasonable, kind person would recognize that it's better to have a seperate, genderless bathroom option rather than allowing any man who so desires to go and watch little girls expose their genitals.

I think you're missing the point. Some people are against further gun legislation using the argument "criminals don't follow the law anyway, so more laws won't stop a criminal from obtaining a gun." These same people are now arguing for bathroom legislation using the argument that "these laws will keep criminals from going into the wrong bathroom"
You can't have it both ways.