Trans people go through many hardships to make themselves feel right in their body, and it is not for some perverted pleasure! 

If you truly wish to create a better and safer environment in the restroom, make the stalls much more secure and safer, make them not have a foot high gap underneath to easily get under, get rid of those 2 inch wide gaps by yhe doors people can see through! 

If you want the locker rooms to be safer, make them uphold a standard of privacy! Theres predators of all sexes and genders, cis or not.

People are upset at trans people participating in sports, deeming it unfair. This was made an uproar about over some people who were in 5th place, where a cisgender still won the whole thing, and wasnt a crybaby about it! If you train hard, you'll win regardless of what is in your pants.

Try and make an anti-trans person identify 10 trans people in a crowd of 100 and i guarantee they will miss the mark 9/10 times! These people need to be educated and have a modicum of empathy before they create such laws!