After Wilson had put the Reds four goals up inside 35 minutes, Jack Rudge smashed home a scorching free-kick to take United into the interval boasting a five-goal lead.
Though Newcastle opened the second period with a goal from Esteban Cardona-Lopez, the Reds saw out victory in total comfort, as Wilson added his fifth goal and substitute Kenji Gorre hit United's seventh of the afternoon.
From the off, the visitors dominated matters on sun-soaked Tyneside. With Mats Daehli and Andreas Pereira pulling the attacking strings and seemingly omnipresent, it was little surprise when Wilson latched onto Rudge's through-ball and drilled home a near-post finish.
The opening goal briefly sparked the hosts into life, and United goalkeeper Pierluigi Gollini had to be alert to field a shot which deflected off Patrick McNair, before making a superb finger-tip save from Jonathyn Quinn's header.
Within long, the contest was finished by a burst of three goals in five minutes, and all were bagged by Wilson. The striker twice benefited from Daehli's industry by finishing off the Norwegian's approach play, then rounded home goalkeeper Freddie Woodman and slotted home after James Weir's forward surge.
Daehli then curled a shot narrowly wide of Woodman's goal as the hosts remained unable to cope with United, and Rudge capped a magnificent first half by crashing home a scorching 25-yard free-kick.