Liking the look of the basic game mechanics so far. Seems like Yu-Gi-Oh meets the Pokémon TCG.
I think I have a few ideas for streamlining the game and the ruleset (for instance, the method by which minions choose an attack target) to make it more understandable for a first-time player - is the version of the rules that you have posted the most up-to-date?
I'd also like to suggest that God Tiering a player might require a significant investment of cards in play, rather than having an event card on-hand. Perhaps Quest Beds need to be in play as well? You could also consider moving God Tier cards to the main deck rather than the extra deck to add another element of luck and force players to reconsider using the cards in the first place. The most powerful cards in Yu-Gi-Oh and Pokémon tend to require some form of on-field cost payment, ranging from sacrificing a card on the field (and spending that turn's monster summon) to having 5 of a specific type of card on-hand and a Polymerization spell card to put them all together.
And while I'm brainstorming, have you considered putting the players in control of the other player's minions, e.g. choose which character to attack? This would allow players to more actively subvert the other player's progress and make playing high-value cards more risky.