Kettering strikers Moses Ashikodi and Jean-Paul Marna were sent off for fighting each other as Hayes & Yeading won an eight-goal thriller.
Marna had made it 5-3 in stoppage time, moments after Ashikodi had a penalty saved, when the duo came to blows.
Hayes led 3-0 through Tom Collins' drilled shot, a Louie Soares penalty and Pierre Joseph Dubois' header.
Ashikodi and Adam Cunnington replied for Kettering but Hector Mackie and a second from Soares kept Hayes ahead.
The game descended into farce in the closing minutes. First, Ashikodi saw his penalty, which Marna had wanted to take, saved by Delroy Preddie.
Then Marna grabbed a consolation goal from the resulting corner but as the Hayes players waited to re-start the game, the forwards clashed and they had to be separated before being dismissed.
Kettering did not make new manager Mark Stimson, chairman Imraan Ladak or any of their players available for post-match interviews.