Suffering is inherently bad, I believe, by definition...
Wrong. Skipping simple relativist proofs (easy to find), many philosophers (and simple mortals like me) think suffering is good. When you make sport, your body suffers, and so it becomes stronger. When you eat salads, your body suffers because you are ingesting toxic substances, and so, your body becomes stronger. When you suffer mentally, you purify your soul, you learn about life, and you expand your potential of happiness, etc. etc.
"You must submit to supreme suffering
in order to discover the completion of joy".
- John Calvin.
It then follows, [...] that if suffering is bad [...], then there is a moral duty to prevent it.
Wrong. If you prevent your child of (a sane dose of) suffering, you are growing him weak. The first circumstance he'll lack of your protection, he might emotionally or physically crash and die. A good education involves a bit of suffering, so to develop strength and find equilibrium and mental/emotional stability.
Another case: nature inflicts suffering to those who break its rules. Any social group follows the same rule, that is, inflicting suffering to those who act against it. If "there is a moral duty to prevent it", we should free all prisoners immediately, give all our money to thieves and promote drug overdosing.
I would like to know how moral non-realists argue against the general argument I presented.
All human groups have different and relative moral rules, and natural selection allows surviving of some, even with opposite moral rules (e.g. some groups with few resources will kill murderers (rule: it is OK to kill), while groups with more resources allow murderers to survive (rule: it is NOT-OK to kill) but in controlled environments, where they change or at least they can't kill anymore).
Suffering is inherently bad, I believe, by definition
- My suffering is bad to me, by definition. Your suffering may not be bad to me by definition.