Tikipedia emulates the look and behavior of Mediawiki; that's the reason for the toolbox. It isn't really a module, but is hardcoded into templates/styles/tikipedia/tiki.tpl. This file must be edited to get remove the toolbox code.
I could have made toolbox a module but since presumably people want it there since they're choosing Tikipedia for the Mediawiki (Wikipedia) look and feel, I went the hardcoded route for permanent presence. Sorry for the trouble.