Wins for Chelsea and Manchester City over the weekend had seen Arsenal drop to third in the table ahead of Monday night's trip to Villa Park.
However, Wilshere opened the scoring on 34 minutes before setting up Olivier Giroud for the second goal a minute later to return Arsenal to the summit.
"It's a massive three points, especially in the second half when Villa came at us," Wilshere told Sky Sports.
"We've done that a lot this season, maybe dropped off in the second half and let teams come on to us, but we dealt with it well. We're showing that side of our game and we hope to continue that for the rest of the season.
"We just take each game as it comes. We said before tonight's game that, if we win, we will go back to the top and that's important.
"We've had a game every three days up to now. Now we've got a week off and it's important we get some rest in. We've got a home game next week, then we go again."
Wilshere's goal was the midfielder's fifth in all competitions in a season when he has occasionally played in a wide role.
The England international understands the need to rotate positions, but is confident playing in the centre brings the best out of him.
When asked if central midfield is his best position, Wilshere replied: "I think it is. I spoke to the manager a few times about it, and he thinks it as well.
"In this team we've got great competition, I think as well, and it's important we rotate a lot. We've done that this season.
"Sometimes I have to play wide, sometimes I play in the middle, but as long as the team is doing well and getting three points that's all that matters.
"I'm not really a defensive midfielder, I'd say I was an attacking midfielder, but if you're going to be one of those, you're going to have to create goals and score goals.
"You see the best midfielders in the past doing that, like Lampard and Gerrard."