To point 1:
If you have a stomach virus, you may find yourself puking all over the floor. Nobody asks "why is he puking all over the floor? Can't he see that's inconsiderate?" At that point, you are unable to help yourself. However, it's clear that if we take you to hospital and get you well again, you will be able to get on with your life.
The problem with mental illness is that it messes with the concept of "intentional" behaviour. If you are mentally ill, your sick brain may motivate you to do something antisocial or even criminal that, were you mentally well, you would never do.
So just because it is intentional _at the time of illness_ doesn't mean it is truly intentional, conscious behaviour.
2. Consider a diabetic. Without regular shots of insulin, they will lapse into a coma. More "criminally" antisocial behaviour? Many forms of diabetes are a combination of genetic and lifestyle factors -- these people have a "tendency to lapse into diabetes", if you will. However, with regular shots of insulin and other lifestyle changes, they can be perfectly productive individuals.
Again, with mental illness it is harder to see that someone with a genetic predisposition to imbalanced levels of, say, serotonin, triggered by drug abuse, is not at fault for their condition. But with medical treatment and lifestyle changes, they too can control their condition.
In both cases, it is in society's interest to help them do so, even from the barest economic principles. Factor in some basic human compassion, and it becomes imperative.