The Red Bulls conceded in injury time at their home ground to give up two points following Mehdi Ballouchy's earlier goal, causing tempers to fray after the match.
Backe, who has coaching experience in Europe, said that a similar situation at his past clubs would have brought about some physicality between his players as tensions rose due to a passion for the game.
"It has to be. I had hoped for a fight,'' Backe told the NY Post. "There would've been four guys fighting, absolutely. You'd get that; you'd have to split them.
"If you go into a European locker room, after a game like that you would expect a fight to take place, absolutely,'' Backe added.
"I've been involved so many times in Europe, and after a game like that, 30 seconds to go or something like that, you are that close to a fight or there could be a fight. For me, it must be kind of a reaction like that. Otherwise I would be worried, absolutely.
"I wasn't myself in the best mood, so there has to be a reaction. (Let's) see how we respond on Friday (against New England Revolution), because if we are a strong team, mentally strong, we will go up like that. If we are too soft you can drop after a reaction like that in a locker room.''