Will mixing methyl 2-cyanoacrylate and cellulose make the cellulose harden quickly?

The other day I was gluing together cotton fabric with methyl 2-cyanoacrylate (superglue) and the fabric started heating up and then eventually began smoking. I have been working on making a 2-part plastic-like substance for personal reasons for some time now, and I know that ionic liquids pull the individual polymer chains that make cellulose apart and that once they are separated they go into solution easily. This in mind, could I get the dissoluted cellulose and add superglue to create a cheap plastic-like material?

The working principle of super glue, based on 2-cyano acrylate, is an anionic polymerisation reaction which in principle triggered by any nucleophile. Water conveniently may be such a nucleophile (the basic anion of water, hydroxyde $\ce{OH^-}$ were even better) which is why the container's mouth originally is not only closed by a cap, but by a thin metal plate.