Isn't pro-adoption really pro-choice? Please read Details?

I was just reading some resolved ?'s and I saw a lot of anti-adoption retorts like, "Why don't we all give our children away" or "AP's should put their biochildren in 'better' homes" And I thought that was ridiculous, as I'm sure everyone does. So that got me thinking, Is anyone really pro-adoption? I don't think that women should be coerced or guilted into surrendering. I think every woman who wishes to safely raise her child should do just that. I'm pro-life, but I think that my pro-adoption views relate to the pro-choicers in that, is any one really pro-abortion? They don't think that everyone should get an abortion, they don't think that women should be coerced into them. They just want a woman to be able to legally make the choice about her body (and her baby, in my worldview) without social stigma or legal penalty. That's how I think about adoption. It's not for everyone. It's not for the majority, but its a choice I believe a woman should have the right to make without social stigma or legal penalty. So it's not really about adoption, its about choice.What are your thoughts?