But you're (a) making an assumption that the full set of end-goals that your neighbor desires aligns exactly with yours, and (b) speaking in very generalized terms about what those end-goals are, without making reference to details of questions that people might evaluate differently.

Your attempts to build common ground with your neighbor will approximate tautologies as the actual intersection of your respective value systems shrink. You can say "Look: we all want more good things and less bad things", but what are you actually proposing?

If I asked you and your neighbor a more particular question, i.e. "should the state intervene to ensure that the greatest amount of people in America are well-fed, well-educated, etc., in its own judgement", I might get different answers from you and your neighbors. If I asked you to define what constitutes "well-fed", "well-educated", etc., I'll likely get different answers. If I asked you whether it's desirable to allow top-down, universalized definitions of these terms to form the basis of public policy, I'll likely get different answers.

All of these are questions of desired ends, answered differently due to different hierarchies of values, and not due to divergent interpretations of empirical data.