Klaxas and Tllmdjd are correct.
Any ability on a card, such as Crown of Protection, Staff of Beast, "as a quick spell" counts as a spell cast for the purposes of Gate to Voltari. Also, you may use the Quickcast Action to activate either of these abilities.
Reinfire13, you are also correct that Spawnpoints' and Familiars' spells do not count towards the Gate, but the spells bound to either of the Wands would create mana for the Gate.