Obviously the Iranians don't think that playing a role "from the sidelines" is consistent with their perception of their regional stature. That doesn't necessarily mean they want to be accepted as a "hegemon", but it suggests that they expect to be treated as an inner circle player. That does not necessarily have anything to do with the Sunni/Shi'a balance in Syria; it can bu purely based on the Iranian desire to be acknowledged as a central regional player.
Of course Maliki will equate Ba'ath with Sunni, as the Ba'ath party in Iraq was dominated by the Sunni minority. The Ba'ath movement was at least nominally secular and not necessarily derived from either branch of Islam, it served more as a loose justification for autocratic rule in the nominal cause of pan-Arab unity than as a tool in the religious dispute.
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