I have an idea but it sounds a bit like Kingdom Come but the children are more anti-heroes:
Mason Lord (son of Maxwell Lord) became President of the United States with the public knowing full well he is an Orange Lantern. As President he turned the public against the Green Lantern Corps calling them a private army created by the "alien elite" and formed the Justice Force of America a group of "heroes" dedicated to defend American values with their first mission was to kill any other Orange Lanterns so Mason didn't have to share his power.
JFA Members:
President Orange aka Mason Lord
American Amazon aka Colonel Angela Kent-Prince aka Ang-El - The daughter of Superman and Wonder Woman who join the American army while holding back her powers so she can fight like a human. After displaying her powers against a monster Lord decides to make her his first member. Growing up an All American girl she feels its her duty to follow Lord, protect America and its values.
Black Bat aka Albert Wayne - The son of Batman and Black Canary who uses his inherited sonic powers from his mother and combines it with tech from his/father's company to glide in the air and create ultrasounds/sounds waves. With being from the Wayne family and his mother's family being connected to law enforcement he takes great pride in his family and his aristocracy while looking down on his older half-brother Damien for coming from assassins.
Had some ideas for more characters but these are the big three...of my ideas