I tried doing so. . .I put two pieces on the right and one on the left, two on the left and none on the right, and even up to three and what ends up happening is the blade slips off from the pressure on the foam tape. It only changed the angle by a third of a degree.
Something is a little off here. Can you post a picture or two of the knife in the clamp? Also, how wide are your tape strips? How thick is the spine? Which holes are you using for the depth key?
It helps to make sure the jaws are set parallel to start with. You can insert the knife between the jaws at the bottom of the clamp and adjust the lower screw until it meets the free jaw but doesn’t push it out any. Then you can mount the blade, make sure the foam is taking up the space on both sides of the blade so that it’s sitting vertical in the clamp. Snug the top screw well and then tighten the bottom screw. Your tape strips should not be so wide that they reach to where the jaws meet the spine of the knife. They should be positioned higher so that they take up the empty space. Please let me know if that helps.