In his The Theory and Practice of Universal Ethics: The Noahide Laws, Rabbi Shimon Cowen notes:
“The opposition of Noahide law to the abortion of an unborn life, except in very special circumstances, embodies one of the deepest norms of human society, the protection of life. In other words, Torah forbids abortion on demand, whether by a Jew or non-Jew. The “pragmatic” consideration that if we insist on this, another purported “religious” position, which does not allow the exceptions provided by Noahide law, could also prevail, in fact panders to moral relativism.It supports the extension of this global mass phenomenon of killing, both morally wrong itself and with all kinds of further corrosive consequences for society."
“The idea that one can do what one likes and the state will kill (and medically rebate the abortion of) any children born from such activities underwrites a culture of indifference to life. Open-slather killing of babies up to birth is the mark of a society that has repressed its spirituality.”