Now now, you never stated you were speaking of what you call "on demand" abortion. Abortion is abortion. What choices people make after that have nothing to do with the actual discussion.
If abortion in any form is murder, as you have so eloquently phrased it, then we should allow women to die just to carry a child to term. Personally, I feel sentencing a woman to death is more murderous that removing the grouping of unformed cells that is taking her life.
Again, like cancer. If you don;t consider this murder, you cannot consider any of it murder.
Just to clarify, I will again state that my personal belief is that late term abortions are "immoral". But early terminations are no different from any other medical procedure. It is not murder if what you are terminating is not, by definition, a person. yet.