Woulda been cool if you did the Winter Soldier thing with Gohan just wailing on Goku, yelling "You're not my father, Kakarott, you're my mission! Your! My! Mission!" Goku just looks at his son and says "Then finish it. If that's what you want. . . then I failed you as a father." And that willingness to die by his son's hands, genuine remorse for failing him. . . makes Gohan pause and hear his dad out.
That would ruin the story, atleast right now, I wouldn't see him turning even the slightest bit good until he figures out Raditz's lies, or either raditz or the Z-Fighters can convince him otherwise. So don't count on it.