Did your Ibanez have a coil-split in the bridge+middle position? If it did, you'll need those Green+White wires. If not, they can stay taped together.
If it did have a split, the Ibanez bridge pickup probably has three wires (rather than 4 like the BKP), two of which are connected to the switch and one to ground.
I don't know what colour codes Ibanez use - they seem to vary a lot - but if it does have two wires connected to the switch, the Red from the BKP should connect to one of those points, the Green+White should connect to the other.