Villa managed to get a 3-3 draw against Liverpool, despite being 3-1 down at one stage.
Post-game, McGinn told BBC Match of the Day: "It was a crazy game to be honest. A point makes it more difficult for Tottenham. We obviously wanted the three.
"There have been times this season we have gone ahead, came back, ended up losing it. It was a bit of game management. I know it wasn't the three but it is a huge one moving forwards."
He then added to Sky Sports: "It's a brilliant effort towards the end. We got a bit of luck. It's been a tough few weeks with lads coming back and playing through the pain barrier. This place got us going.
"Big Jhon (Duran) is a bit nuts at times, he's a nightmare to play against. I don't think it's been difficult for us as players.
"There's some of us that have never been close to the Champions League in our life. The manager has a no-excuse mentality. People have written us off and we've floated under the radar. We'll have our Man City tops on tomorrow."