Opening a bear season will not stop bears from interacting with people. If you have a food source in your backyard and the bear that was feeding there is killed, another bear will move into that area to feed. Unless you eliminate the reason why bears are coming into your yard, the problem will never be solved. A bear that is wounded by a hunter could be very dangerous. Hunting accidents are also a problem.
Bear hunting is cruel.
During hunting season, black bears have up to 200 pounds of fat on them, and their fur coats are thick and heavy in preparation for winter. In Pennsylvania, there have been bears who have been hit with multiple rifle shots and still survived. Hunting with rifles is currently illegal in New Jersey. To hunt bear, either rifles will have to be legalized or hunters will have to use shotgun slugs, which are inaccurate and unsafe. In no way does hunting address complaints about bears.