Greg,
Cide-Kick II works very well with many contact herbicides & algaecides, such as REWARD & CUTRINE. Cide-Kick contains d'limonene, which is similar to the components found in Pinesol and hand-degreaser. It really "heats up" products that work through contact [non-systemic] activity [where massive and rapid tissue damage is desired].
However, a good quality non-ionic surfactant will probably work a bit better with systemic herbicides such as glyphosate [RODEO, AQUAMASTER, etc.). Such herbicides need the plant to remain active for several hours after the treatment. CIDE-KICK, if over-done, can actually cause damage to or dessication of the plant leaf [melting through the cuticle]; possibly reducing the systemic herbicide's mobility within the plant.
With glyphosate, I'd use CIDE-KICK over dishwashing soap, but would opt for a good non-ionic aquatic surfactant if at all possible.