Construct Cataclysm and Sustained Influence

If I'm using Construct Cataclysm to destroy all of my constructs, and Sustained Influence brings one of them back, will Construct Cataclysm destroy it a second time.  And if it does, does that increase CC's X count by 1?

Seems legit to me. Construct Cataclysm wouldn't be fully resolved before Sustained Influence goes off. It would still be in play when you brought back a construct.