It turns out that Hezbollah doesn't distinguish between its jihad wing and its Head Start programs. According to Borzou Daragahi in the L.A. Times, Naim Qassem, the Hezbollah Number Two, said that "Hezbollah has a single leadership." He went on to say, "All political, social and jihad work is tied to the decisions of this leadership. The same leadership that directs the parliamentary and government work also leads jihad actions in the struggle against Israel."
Now, if you listen to Hezbollah apologists in the U.S. you would think that a) Hezbollah's terrorism is run by a completely separate organization, possibly based on Saturn, but not based in Beirut, and definitely not in Teheran, and, b) Hezbollah doesn't commit terrorism anyway.