Except in extreme circumstances, I cannot see the difference between late-term abortion and murder.
Exactly where the line should be drawn is a difficult challenge. At present in the UK abortion after 24 weeks can only be carried out if there is 'grave risk' to the mother's health or 'severe foetal abnormality'.
In fact all the Abortion Act of 1967 did was to provide a legal defense for abortion where doctors believe there is a risk to the 'physical or mental health' of the pregnant woman or her existing children. In practice we do have abortion on demand.
I would favour lowering the limit to 20 weeks. Advances in medicine are lowering the age when premature babies can survive.