No
The text for Weapon of the Gods was corrected in errata on (4/25/2011) to make the wording consistent with the Compendium and clarify this issue. The power now reads:
Weapon of the Gods Cleric Attack 5
The weapon you touch glows with divine radiance, enhancing its attacks.
Daily ✦ Divine
Minor Action ✦ Melee touch
Target: One held weapon
Effect: Until the end of the encounter, the target deals 1d6 extra radiant damage when used to make a weapon attack. In addition, whenever an enemy is hit by a weapon attack using the target, that enemy takes a -2 penalty to AC until the end of the next turn of the target’s wielder.
(emphasis added)
DDI link: http://www.wizards.com/dndinsider/compendium/power.aspx?id=1406
Thus, the weapon must be used with a weapon attack in order to benefit from this power.