I want to go to a public school, but my mom hates the idea of it. Help?

My dad doesn't mind me switching to public. Its my mom that's the problem. Both of my parents are christian but my mom is pretty hardcore and really strict about it. She tells me she doesn't want me "immersed in ungodly influences". I think she thinks by putting me at a private christian school im in some sort of bubble, which is so not true. the stuff people do at my school is just as bad as public, people are just better at keeping secrets. I want to go to a public school because

A) my parents always gripe about money. we'd have more if we weren't wasting it on private school.

B) i'm sick of all the rules. ive heard that its not so bad at public schools. The teachers are like prison wardens at my school.

C) there is zero individuality. we aren't allowed to color our hair unnatural colors. ive always wanted blue bangs tho, haha.

D) UNIFORMS. i HATE them. they make us all look like nuns and deacons.

E) the people. i hate to say it, but over half of the people at my school are stuffy, uptight, spoiled brats. and they make fun of you if you aren't them.

ps: i realize this is loooooong. but im sick of private school. and my mom just wont budge. i feel like a dog on a leash sometimes.

so basically, i need to know how to convince her. its hard to talk to her because she never seems to listen.