United face Liverpool next and Pogba knows how important the game will be with his side having the chance to extend their lead at the top to six points.
"It looked like we got our identity back", said Wilder.
"Of course we know we're going to the champions, they've had an unbelievable three-and-a-half seasons so we know that's going to be a hard game for us but we're ready for it".
"We're looking forward to it, we enjoy being where we are at any time", he told reporters.
Plotting the course of Manchester United's league position over the years since Sir Alex Ferguson retired leads to a graph that resembles a heart-rate monitor which, if hooked up to a patient, would inevitably prompt a prescription for stress relief. United have, at different points, been as low as 14th and 16th under him.
He believes Manchester United truly deserve to be top of the pile at this stage of the season.
After a win over Burnley, Manchester United's Nemanja Matic said he is happy with the team's performance, adding that this kind of victory shows that his side is "ready to compete for the title".
United's 18th game of the Premier League season, away to Liverpool, kicks off at 16:30 GMT on Sunday.
However, Solskjaer's side haven't reached there on luck but it's obvious to see they've gotten there on merit.
Shaw, who was booked for his hefty challenge on Johann Berg Gudmundsson, soon swung in a cross that Harry Maguire headed home from an acute angle, only for it to be ruled out for a push by Maguire on Erik Pieters as he climbed. Referee Kevin Friend's decision wasn't reviewed by VAR, so United were left to complain about harshly being denied what would have been a brilliantly-taken opener. Whether that is a coincidence or that Raiola's words gave Pogba a sense of freedom, United won't really mind if it results in the player continuing to make a difference as he did at Burnley. We scored a goal and won the game.
Ole Gunnar Solskjaer knows the irregular pattern.
"I've always said Paul is a big player for us", said Solskjaer. "He is a good character in the dressing room, he is always one the lads look to (because) he's a world champion".
"But at the moment we are where we are". They delivered at Burnley, though, and did what they had to do.
After the match, Pogba said: "We know that the game today was very hard, very difficult and obviously we wanted to win".
United pushed to get this game in hand played this week, and going into Anfield with a three game advantage may turn out to be a masterstroke for the players' confidence.
Pogba was controlling the game from midfield and it was fitting he was the match victor as his volley from Marcus Rashford's cross deflected off Matt Lowton and through the legs of Pope.