Yes, the Church of Satan is a legally recognized religion.

Yes, it is technically illegal for your school or anyone else to interfere with free practice of your religion.

No, you don't really need to take your Satanic Bible to school, any more than Christians need to pray at school.

The Church of Satan's Legal Information Sheet may be of interest to you.

While personally I don't see a need to make an issue out of such matters, if you are personally interested in doing something, for whatever reason, I'd suggest instead of trying such tactics as you suggest, doing things the civilized and legal fashion.
"The devil I'll bring you," answered Hagen. "I have enough to carry with my shield and breastplate; my helm is bright, the sword is in my hand, therefore I bring you naught."