On a flat test deck you would hope England would prevail. Plunkett aside I couldn't see England being hurried by the Yorkies attack. That's probably the key difference - better tracks and test batsman use to quality bowling. Root and Williamson aside, I suspect Anderson and Broad would fancy a bowl at the rest.
But...
...test quality batsmen? The Yorkshire side has five (Lyth, Root, Balance, Williamson, Bairstow) and the England side three (Cook, Bell, Ali) - I'm including Lyth and Ali on the same basis, they've both made quality test match hundreds. Bresnan, Rashid and Plunkett are more than decent in the middle order too...
As for bowling - England would field Anderson, Broad, Mr X, Stokes, Ali. X being Wood, Finn or perhaps Woakes. Yorkshire Sidebottom, Brooks, Bresnan, Plunkett, Rashid. England have the best individual - Anderson - and a great streak bowler but for pace its a close thing, and Yorkshire have the better third/fourth seamers and a miles better spinner...