From Freedictionary.com:
con·spire (kn-spr)
v. con·spired, con·spir·ing, con·spires
v.intr.
1. To plan together secretly to commit an illegal or wrongful act or accomplish a legal purpose through illegal action.
2. To join or act together; combine: "Semisweet chocolate, cocoa powder, espresso, Cognac, and vanilla all conspire to intensify [the cake's] flavor" (Sally Schneider).
v.tr.
To plan or plot secretly.

Seems to fit the lyrics perfectly.
I have never seen any cause to query those lyrics.
Were you also planning to "improve" those, Tunesmith?