A multiprotein complex that binds microtubules in a Hedgehog-dependent manner, and is required for signal transduction by members of the Hedgehog family of proteins. The core components of the complex are the serine/threonine protein kinase Fused, the kinesin motor protein Costal2 (Cos2), and a zinc finger transcription factor (Gli family members in humans, and Cubitus interruptus (Ci) in Drosophila).