I have met many people in the US who have this opinion, absolutely. Even on this site you can find them easily. Heck some of my own family hold this opinion!
I don’t really care about abortion as an issue, I am simply making the point that the people who wrote this article would probably make two contradictory arguments: “My body my choice” and also “my body but NOT my choice because this choice is icky and it looks too much like a free market”.