I don't think mental ill health is ignored by society but it is regarded as uncomfortable. This is because people know how to react to someone with one leg or a pacemaker, but not someone incapacitate by mental distress. When we are at a loss over how to behave towards someone acting strangely, or unresponsive to our overtures we may feel uncomfortable to the point of irritation.
The tendency is not to want to bother. If these reactions are widely true in the community, this might seem like society ignoring those with mental health issues. I think your use of "mental disease" is misleading. It sounds like an infected brain, which, if true, would be a medical situation not a psychological or psychiatric one. Do you regard anxiety, say, as a disease?
Anxiety disorder is one of the mental health problems that an individual may suffer from, and because mental health problems are extremely widespread, you yourself could be one of the unfortunate sufferers in the future. If a traumatic event, say being caught up in a terrorist attack, left you with high anxiety, depression and constant terrifying nightmares, would you expect your family and friends to regard you as having a mental disease?