The Tigers defender was sent off after the full-time whistle when he shoved Terriers striker Alan Lee in retaliation to an off-the-ball incident and a melee ensued on the pitch and in the tunnel.
Bruce senior is determined for the right person to be punished, though, and brought a DVD of the incident into the post-match press conference to show reporters footage of Lee clearly offering a forearm smash into the face of his son.
"We are appealing his red, you can understand why," Bruce said. "I knew there must have been something in it for him to react like that.
"I thought it was cowardly by Alan Lee, I thought more of him, I have had a pint of Guinness with him, I have played his guitar and I thought more of him.
"Cheat is the right word for him, I don't use that lightly but that's the right word for him. He's 15-and-a-half stone and he went down like that. That has ruined the afternoon, we had the best referee in country in Howard Webb and I have spoken to him. He will report it and hopefully there is some justice.
"Alex is wrong with his retaliation but he only pushes him in the chest. He's my son but he takes after his mother."
Huddersfield boss Simon Grayson admitted Lee deserves punishing if found to have done something wrong.
"I didn't see what Alan has done but if he has done something he will probably get punished," he said. "I don't know what will happen but he deserves punishing if he's shown to have done something.
"But it was a stupid way to end the game from both sets of players."