How does Ixalan's Binding work against God Eternals?
One of the Rulings below Ixalan's Binding says:

If there is no exiled card (perhaps because the exiled permanent was a token or was a commander that moved to the command zone in the Commander variant), Ixalan’s Binding won’t stop players from casting spells.

Both the effects of God-Eternals and Wasteland Strangler will stop the second effect of Ixalan's Binding. The relevant rule is:


Linked Abilities

607.1. An object may have two abilities printed on it such that one of them causes actions to be taken or objects or players to be affected and the other one directly refers to those actions, objects, or players. If so, these two abilities are linked: the second refers only to actions that were taken or objects or players that were affected by the first, and not by any other ability.
607.2a If an object has an activated or triggered ability printed on it that instructs a player to exile one or more cards and an ability printed on it that refers either to “the exiled cards” or to cards “exiled with [this object],” these abilities are linked. The second ability refers only to cards in the exile zone that were put there as a result of an instruction to exile them in the first ability.

(emphasis mine) – basically, as soon as the card leaves the exile zone one way or the other, Ixalan's Binding stops keeping track of it. Re-exiled cards don't activate the ability again, thanks to the last sentence &quot;that were put there as a result of an instruction to exile them in the first ability.&quot;