Realistically, if Roe were overturned, the issue would go back to the states.
Liberal states such as New York and California will enact their liberalized abortion laws to permit abortion on demand. Other states will enact various restrictions.
Even if Roe were overturned, there will still be abortions happening in America every day.
It will be easier to change laws or Supreme Court decisions, than it is to change people’s hearts and minds on this issue.
Yes the battle would them move to the states. At least the children would be reasonably safe in some of them. But the fight would continue.