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You're approach is not going to work psychologically. If you are on the attack, then they will be defensive and dig in or just tune you out. People are open to persuasion when they like the person they're talking to, which is why you're correct about the direction to approach them from. If they're operating on moral reasoning, then meet them on that level. Every point you make needs to be aligned with the morality they're starting from.
The problem you're going to run into is that many people will grant every point you put forward and still not change their minds. The issue is that many people aren't really thinking about the position, they're evaluating whether or not their position is socially approved.
The sad reality is that very few people are willing to hold idiosyncratic views and change their minds when presented with arguments. This is why Michael Malice often says that most people literally have no mind. The NPC caricature is quite accurate.
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