"Will public school be safe for my child?"
That depends. Are they as bigoted, ignorant and delusional as you and everyone else on Rapture Ready?
See, the rest of the world lets you get away with that shit because they think it's "polite" or something, particularly since it's part of your religion and, as everyone knows, religion is off limits for criticism. Kids in public school haven't been indoctrinated with that bullshit yet, hence the general view that they can be "cruel".
Now, if your kid is reasonably sane still and isn't going to go preaching to everyone or claiming they're all going to hell then they should be ok.
"I know this is a much asked question but there seems to be a greater need to think about it, esp with such a liberal President."
Which has what to do with this little quandary you find yourself in?
"My daughter is not even two but I'm trying to figure out what my best options are for her when she is old enough to go to school. I have heard pros and cons about public school vs Christian private school."
Just send your fucking kid to a public school. The only thing you'll get out of a Christian school is a little Jesus bot if they don't rebel against it, which they probably will.
"I don't want to isolate my daughter but I also don't want her to be exposed to the sickness of the world, which is not being filtered through in schools, it seems."
Oh, please. You think she wont be exposed to the "sickness of the world" after she graduates? Oh, that's right, then it's time for Bible College *snicker*. What then?
"I fear things will only get worse and I want to protect her as much as I can."
That's your fucking problem. You're going to wind up with a seriously ill prepared and naive adult.