I also want to say that public schools are freaking amazing and statistically your boys will not get any better education, nor perform better in a private school. Of course there are crap public schools are there, as there are private. I know a few people whose public catchment school is completely feral so they essentially have to send their child private.
But from one atheist to another - how would you feel if I forced you to commit to a belief system for 13 years then told you I'd be disappointed in you if you actually believed it? That would be my own private hell.
Again, I hope I haven't been rude. I'm drinking a double espresso shot with squinted eyes as I type