QUOTE
When activated, wired reflexes confer a bonus of +1
to Reaction and +1 Initiative Pass per point of rating. Wired reflexes
cannot be combined with any other form of Initiative enhancement,
except Reaction Enhancers.
QUOTE
Reaction enhancers are incompatible
with most other Initiative-boosters.
QUOTE
The booster confers a bonus of +1 Reaction and + 1 Initiative Pass per
point of rating. The synaptic booster cannot be combined with any
other form of Initiative enhancement.
QUOTE
Improved Reflexes
Cost: Variable, see below
This power increases the speed at which you react, just like wired
reflexes. For each level, you receive +1 die to Reaction (this also affects
Initiative) and 1 extra Initiative Pass. The maximum rating of
Improved Reflexes is 3, and the increase cannot be combined with
technological or other magical increases to Initiative.
Emphasis mine. Considering all of those rules, I'd say that the only ways to get a vampire (or similar) above 2 IP would, as you thought, be to take Improved Reflexes 2 or to have a mage hit them with Increase Reflexes with 3+ hits. At that point, you're not really stacking initiative bonuses, but overriding the character's innate initiative bonus. In addition, you could reasonably extrapolate that you could override it with bioware or cyberware of sufficient rating, but that's likely a game-by-game call.