Hi, I may be wrong, but I think this will not work, because qtranslate puts all the translations as commented html into one post - maybe this is why it does not work with cachify (just guessing).
I tested qtranslate a while ago and I came to the conclusion, that you definitely do not want your content be modified by any plugin - look, all your post content is "qtranslatified" - if you ever want to use the post output for anything else you have to clean the html comments out. If you are just starting with a translation of a website, I definitely recommend to leave your fingers of qtranslate, in the long run you want to keep your post content as clean as possible.
I think it is a general very stupid design decision to put translations as html comments into the post itself - separate posts for each translation is much better.
I have good results with wpml, cachify also works with this. wpml is much better than qtranslate, still not perfect, but really miles ahead. However, you will need cachify for wpml, as it makes the site really slow with tons of sql queries.