The back splash of laminate counter tops are difficult to remove as they are normally screwed up from the bottom of the counter top. The backsplash is not normally attached to the drywall at all. The drywall is less of a problem because you can merely score through the drywall paper along the top edge with a Stanley knife. Any tearing of the paper will then stop at the cut line.

You might find the back splash less objectionable if you paint it to match or more compliment the counter color. I would spray the back splash with clear shellac as a bonding agent and then spray it the color of your choice with a spray can.