With Beckford back on the scoring trail from open play for the first time since January 14 and Freedman enjoying a new lease of life in his two starts since joining on loan from Crystal Palace, United are starting to show the attacking prowess that terrorised defences earlier in the season.
Tresor Kandol will struggle to regain his place alongside Beckford if the experienced Freedman maintains his present form, though Walsall manager Richard Money insisted Beckford's lethal finishing was the difference between the two sides.
On the day, there was a much wider gulf in class than that. Leeds keeper Casper Ankergren spent much of the game unemployed as Walsall were restricted to just two clear-cut chances.
Skipper Tommy Mooney squandered one of them by ballooning his shot from six yards and Lee Holmes went close with a curling free-kick.
McAllister said: "We played well and deserved the three points. Some of Dougie Freedman's play alongside Jermaine Beckford was excellent. Dougie has experience and guile and both strikers looked very sharp.
"It was a big decision for Dougie to come here, because he has a wife and four young kids back in London, but he is fully committed to the cause.
"Walsall missed a good chance but that was the only time they breached us in the whole game. We knew they would come and try to frustrate us by getting men behind the ball but we coped well and the front men took up some good positions."
The match started a run of five for Leeds against teams with similar promotion aspirations but Money is convinced Beckford will not only go up with United into the Championship next season but take them on into the Premier League.
That is a tall order but it presents another mouth-watering target for the former Wealdstone striker, who announced in a post-match interview that he intends catching League One's leading scorer, Swansea's Jason Scotland.
Beckford should have scored as early as the third minute when Neil Kilkenny's excellent long pass looped over Ian Roper's head but, as well as needlessly fouling the defender, the striker shot wide of a gaping net.
There was no mistake in the 29th minute when David Prutton passed to Kilkenny, who prompted Beckford to cut in from the left, round keeper Clayton Ince and end his goal drought.
Kilkenny was again the provider ten minutes from the end when Walsall lost possession and the winger sent Beckford racing clear to clip the ball over Ince into the net.
Beckford almost completed his hat-trick a minute later, his shot flying inches wide, but Leeds were home and dry and the boos that rang out after their home defeat against Cheltenham were a distant memory.
Jonathon Douglas's return to first-team action as an 83rd-minute substitute was more good news for McAllister, who must now hope United can maintain their much-improved form when they take on Brighton at Elland Road on Saturday.