So, no there isn't any evidence (at least that I've seen) for trans people being predatory in bathrooms. I have seen lots of stories about trans and "trans-looking" cis women being assaulted, threatened, and harassed in bathrooms. In all fairness though trans people are about 1% of the US population (~3.3m individuals) so statistically it's happened at least once, probably.

This has nothing to do with protecting kids but I wanted to add a few more bible verses that Christians also should contemplate more often.

15 “Watch out for false prophets. They come to you in sheep’s clothing, but inwardly they are ferocious wolves. 16 By their fruit you will recognize them. Do people pick grapes from thornbushes, or figs from thistles? 17 Likewise, every good tree bears good fruit, but a bad tree bears bad fruit. 18 A good tree cannot bear bad fruit, and a bad tree cannot bear good fruit. 19 Every tree that does not bear good fruit is cut down and thrown into the fire. 20 Thus, by their fruit you will recognize them.

Matthew 7:15-20, that is red text (a typographical feature of some bibles, mostly the king james version, where direct quotes from Jesus are set in red text)

"If anyone will not welcome you or listen to your words, leave that home or town and shake the dust off your feet."

Matthew 10:14, That's also red text.

"If possible, as far as it depends on you, be peaceable with all men."

Romans 12:18

"But if anyone has the world's goods and sees his brother in need, yet closes his heart against him, how does God's love abide in him?"

1 John 3:17, a small caveat to this one: brother may refer to other Christians (which is how some versions translate it) but Jesus used brother and sister to refer to all people, and since John was his bestie, it seems like the more fitting interpretation.