A compromise for pro-abortion and pro-life

One side doesn't want to kill a life and the other side doesn't want to be told what they can and can't do to themselves. A while back, I came up with a solution that satisfies both side's core desire. What do you all think of the below idea?

Extractions!
Instead of abortions, where you kill the fetus, just perform extractions. Remove the fetus while it is still alive, and let the doctors try to keep it alive. If the fetus is able to sustain its life with doctor's help, it lives and is put up for adoption after it has grown enough and no longer needs medical attention. If the fetus is unable to sustain its life with doctor's help, it dies a "natural" death. This allows women to do what they want to their body and prevents the killing of fetuses. Is this an acceptable compromise?

(The below was added because I wasn't allowed to post without an image)

A compromise for pro-abortion and pro-life
A compromise for pro-abortion and pro-life
Post Opinion