The generic checker pattern fills the entire UV space. To get a perfect match you would need to create a texture file with your own checker pattern in the proper position on the UV map.
Of course you could play with the U and V repeat to get the checker pattern to align with the UV space grid lines and then move your cubes UV shells around to line things up but well that would be a real convoluted way to do things.
Furthermore, the way you have your UV's laid out you are going to have to work to align images on the sides where the UV's have been cut. You can try turning on viewport 2.0 or highres and then manually adjust the shells to line things up.
"If I have seen further it is by standing on the shoulders of giants." Sir Isaac Newton, 1675
Last edited by ctbram; 02-02-2012 at 02:43 AM.