The Blues still sit ninth in the table, with plenty of work to do if they are to avoid the play-offs at the wrong end of the table or even relegation.
However, Stevie Farrell's return to the club has coincided with an improvement in form as Stranraer are now four games without defeat for the first time since March last year.
Gibson said: "It is quite amazing actually because you look at our team before the gaffer came in and he has only added Michael Donald and Amadou Kassaraté.
"Amadou is not in the starting XI yet and Mikey has done well when he has come on.
"There have not been great changes but the difference in play, difference in confidence and everything is massive.
"If players have got confidence, they will play well.
"If their confidence is down, you see it even at the top level, then they will not produce.
"The one thing the gaffer has come in and installed is confidence in the players and a real belief that they go on and do well.
"Four undefeated, we will be looking to make it five next week."
The midfielder's double ensured the Blues picked up a point against Peterhead in a thrilling 3-3 draw.
His first, a trademark free-kick, was followed by a celebration with his young son Rory.
He said: "We have been working on a wee handshake.
"He is only four but he is getting to that stage now where he learns and picks up stuff.
"He has picked up a wee handshake and the two of us did that.
"Last season, he gave me a toy and anytime I scored I would take his toy to him.
"It was Zeggy from Blaze and the Monster Machines but on Saturday he did not want to give me a Transformer, which is his in thing at the moment.
"He just got some new ones and he did not want me to break them.
"So, I said to him if I scored today, I would do the handshake and he enjoyed that."
The second goal, which secured a point, came off of Gibson's so-called weaker left foot and came after the Blues had gone from 2-1 up to 3-2 down.
He said: "It is something I work on because obviously everyone says I've got a good right foot and maybe I've got to work a wee bit on my left.
"I do it in training as well because, obviously, when you train with the same boys every week, they kind of know that I am wanting to get a shot off on my right foot.
"It just shows I can ping them with both feet and I was happier with the second finish than the free-kick, to be honest."
The two strikes, along with a header from Ryan Thomson, ensured the Blues remain four points adrift of Peterhead with 11 games still to play.
It also took Gibson on to nine goals for the season - one short of his best for Stranraer, which came in 2014/15.
The midfielder said: "I've got one more to reach my target.
"I always set myself a target of ten, double figures, every season.
"I think the position I play and, obviously, I'm on the set pieces as well, so ten is a reasonable return from there.
"Hopefully, I can get to that and push on and get a few more."