LQT is currently dependent on WikiEditor Extension. From looking at the code and the documentation, this does not seem intentional. If WikiEditor is not installed on a wiki, LQT tries to load in the modules in resource loader.
See lqt.js line 231.
Another problem, the call to load ext.wikiEditor is wrapped in a conditional checking for mw.loader that is oddly inside of a mw.loader callback...
If you eliminate the ext.wikiEditor dependency and run finishSetup(), LQT tries to call an undefined function 'mwSetupToolbar();' on line 212. It would seem this is a deprecated mw method ?