In the resulting confusion a Deepdale steward appeared to be trampled by a police horse after being knocked over by another.
While Ince understands there was no malice involved in the pitch invasion, he feels such situations can quickly get out of hand.
"It's an absolute joke and I wondered if we have enough stewards," Ince said of the pitch invasion.
"You see enough situations where fans run on a pitch and I can understand fans' excitement, but there have been enough frightening things that have happened to players that we need to stamp down on it.
"There were three or four hundred Preston fans, so who knows what could have happened? Has it got to take something else to happen before we listen?
"That's not just Preston but it's the whole football community in general. We need to knuckle down on this.
"We're disappointed as our fans were absolutely fantastic and their behaviour was impeccable. There were no louts on the pitch - unlike Preston - and we conducted ourselves in the right manner. We have to take pride from that as a club."