Abortion, as a moral issue, is contentious and we are in a world where there is no moral consensus, so we must find ways to mediate ethical clashes. It is helpful to think about confronting ethical disagreement in two ways: rational demonstration and intersubjective engagement.
Rational demonstration is where people are shown how their point of view does not stand up to some rational ethical principles (autonomy, justice, beneficence, utility, etc.) and the expectation is that one simply changes their view(s) accordingly. It is sort of like a math problem there is a problem, a procedure (addition, subtraction, factoring, etc.), and a solution. One cannot deny the solution to a math problem as long as the right procedure was carried out.
Intersubjective engagement is where people engage with one another in an ongoing dialogue using arguments, questions, critiques, self-reflection, listening, and cultivating new ways of living to address ethical disagreement. The focus is not necessarily on a desired or forecasted outcome, but, rather, on the process of dialogue between open and honest people (hence, inter-subjective engagement). Thinking about your deeply held moral values and position on abortion, what would it mean to have a debate with someone using rational demonstration? Or intersubjective engagement? Which makes more sense to you? Why?