CBtar without Crunch is nothing short of a joke (come on, Cresselia walls you - now that's sad for something with 134 base attack holding a Choice Band with a Dark STAB).
Honestly I don't find Pursuit useful. Nobody even switches their pokemon out since Pursuit is so common, so you can easily Crunch that Celebi or Cresselia to bits. Hippowdon is going to wall you anyways, and being stuck on Ice Beam coming off a weak special attack stat (for a sweeper's standards) and giving a lot of pretty terrifying stuff a free switch-in (think SDluke and even Heracross).
I must also ask what MixApe EVER uses Thunderpunch (or any Infernape for that matter)?
I must ALSO ask you KT...since when is CBtar a surprise? It has mostly the same counters as the DDer anyways so stuff expecting DDtar probably isn't going to care a whole lot about CBtar being your set, if they are surprised at all.
This team also suffers from weakness to Luvdisc leads, who Rain Dance up on Tyranitar and poison it with Toxic!
EDIT: Wait, people actually switch SpecsMence into Tyranitar?