You don't need a shared moral framework to come to a personal moral conclusion.

What does that mean? How does one come to a personal moral conclusion? Vibes?

(I take "moral framework" to mean a principled stance that gives objective grounding for a moral judgement. I agree that we can come to a moral judgement without putting it through a systematic and discursive defense, and I reject the notion that there are many moralities or that they are arbitrary, but it is also true that diverging conceptions of the basis of morality will frustrate agreement. Stopping at personal moral judgement does not lend itself to fruitful dialogue and understanding, as it constraints the domain of what is intersubjectively knowable.)