As the genitive is different, I wouldn't call it similar. :-)
The declension of "kein" is the same as "ein"; after all, "kein" is just "nicht ein". "Dies" is an adverb, the demonstrative pronoun is "dieser/diese/dieses" (though sometimes "dieses" is shortened to "dies", especially in older German).
It's probably best to memorize the declension of the demonstrative prounouns seperately, see
http://www.mein-deutschbuch.de/lernen.php?menu_id=79
There are of course similarities between "der/die/das", "dieser/diese/dieses", "jener/jene/jenes", and the strong declension of adjectives when there is no article, because the endings serve a similar purpose (primary indication of genus/casus/numerus in addition to the noun). I wouldn't call this "applying the strong adjective declension to other cases", though, and I wouldn't recommend thinking of it that way.