Cousins loss will probably be a net gain for the Warriors. Not sure what his on off court stats are like but in games I have seen, the Warriors just appear to be a better team without him.
Looney, Bell, and Bogut should be just fine for the 24-36 minutes they need a real center.
Bigger question for them will be getting enough good minutes out of Livingston / Cook / Iggy / Jerebko / McKinnie, but they already had that issue.
Still, in a big game they oughta be able to get 36-38 minutes each out of Curry, Klay, KD, Dray.