I'm not sure about the chemipure, and my answer comes from my experience in the freshwater world as the filtration system in the marine tank I care for is the live rock. With the disclaimer out of the way, I would say to either run both for at least a week to give bacteria time to colonize the canister filter, and yes, put the sponge in the canister filter.
You may have a mini cycle because the bacteria will be trying to play catchup with it's food supply, but it won't be like your first cycle because there are a lot of bacteria already and they just need time to recolonize.