TFSE tells me my dreamed up idea isn't original..
Though I know, a pictures worth a 1000 words, so here goes.
Place cardboard matchbooks tray/box under your paper cutter.
Hold matchbooks by the matches themselves and cut'em.
Your MBRP strips will fall into their tray (for easy collection) and the disposed of matchbook cardboard will fall on the table outside of your strips tray which you toss in trash with matches after each cutting.
You may also place your fresh books on the paper cutter for quick and easy access.
You can cut the books much quicker with the cutter than scissors making the $20-30 investment well worth it.
-MiNd