The Polymorph rules, which govern Beast Shape and thus Wildshape, do not mention anything about changing of the target's actual type, just their shape and abilities. The rule of thumb with Polymorph effects is that you only get what is explicitly mentioned in the definition, no more.
I would say that you maintain your original type and are not affected by abilities that work on your new type. For example, a human-bane weapon would work on a human druid in Tiger form. Charm person would work on a druid in Elemental form. Charm monster would work on a troll baleful-polymorphed into a bunny rabbit.
The wildshape ability does talk about creature types, but only in so far as limiting the list of creatures to which a druid may shift.
There's a great idea, actually... hard to use the inquisitor's bane ability against an enemy if he has no idea what the enemy's original type actually is. Then again, you don't need full on beast shape spells for that, you could just hand out potions of alter self.
MurphysParadox is correct, polymorph spells do not change your type (or subtype). Sometimes this can be a useful clue.