No hammer of wrath does not benefit from +1S, as Combat drugs are wargear/special rules. From the rule book FAQ:
Q: When a model makes a Vector Strike or Hammer of Wrath, do
these attacks benefit from any special rules (such as Furious Charge,
Poisoned or Rending), or any weapons or other wargear it is
equipped with? (p37/43)
A: No.