You shouldn't have any problems wiring that. Just gotta remember that the color codes for the wires are not the same for
Seymour Duncan and
Dimarzio pickups. Aside from that, there shouldn't be a problem installing pickups from different brands. (I even got one with Dimarzio, Seymour Duncan and Lace Sensor pickups as well as an active EMG unit, how's that for mixed brand components on a guitar?)