As it exists in society right now: no. Too much a political/social football. For it to be such we'd have to drop all that and allow it to be offered as an option. parents would have to realize that no matter how much you try to teach abstinence, human nature is what it is. Make sure you teach it, but tell them, "If you think you might be too tempted it I'd rather you be protected either way." Taking, having and using birth control does not mean one has to actually have sex, and those parents consider it a "license" are admitting that they will probably fail in this regard. There's nothing wrong with admitting the possibility, but then if you don't take steps to offer the protection then you are, in part, to blame.
I'm not all that fond of the concept of using it to eliminate poverty. It won't. Might help lessen it a little, given the context of my comments above... but probably not much.
But it will lessen abortions.
I'm a Unitarian and you'd think they would be doing it. No, they're not from my experiences: and when I tour the east coast I'll often visit different fellowships and congregations: pretty much nada. You'd think some of the more liberal faiths would: especially considering the push from the other end of the theistic spectrum.