Well, again, of course people who disagree with one another will think there must be some flaw with the opponent's reasoning or epistemology; else they wouldn't be on opposite sides of the fence.
I won't question your ability openly if you don't question mine, is that fair? I know you didn't intend offense, and I'm not offended; but it just kind of goes without saying that we both think the other is deficient in some way if we're disagreeing: no need to announce it, right?
But what makes identity separate from anything else? Your argument simply replaces God with the so called law of identity. It doesn't explain that law or how it exists or how it interacts with existence. You have a very naturalistic idea of a law and are simply using some neat so called law of identity, which has a real, if relative meaning as a separate law on the human level, as the transcendental first principle but there is nothing contradictory for the theist to maintain that actually this law is but a part of God, a part of his ineffable, absolute nature.
I didn't say it was contradictory; I've never asserted "It is false that identity is a part of God." I have asserted, however, that such as an unjustified position (at least so far in this discussion). I've justified the existence and necessity of identity: I've done my part. My definition and justification of identity are consistent. I've done my job, I must be agreed with
up to that point unless you find a particular flaw.
If at that point you want to contend that (on top of what I've said) identity is
also a part of God then you must justify that assertion as it isn't self-evident or incorrigible; worse it's possible to get an exhaustive understanding of identity without God being dragged into it at all (so you have quite the case to make, at that).
If you can justify it, then now is the time to do it.
If you can't, then you shouldn't be asserting it. You shouldn't even be
believing it if you can't justify it unless you're comfortable with being irrational.
Your argument is, I thought, that it is nonsensical, not simply unproved that the law of identity is a part of God. All I assert is that the monotheistic(and Platonic and Vedanta.) idea of God is not illogical. As far as I can see this has been done, you don't really have an argument.
The only time I recall mentioning God's nature is when I pointed out that people who assert being malevolent is "against God's nature" supported my point. Where did I say that it was nonsensical or contradictory for identity to be "part of God?"
There are many things that "aren't illogical" but that doesn't make them rational to believe, and certainly doesn't make them rational to assert as an objection to an argument unless it's a rare form of argument where the mere
possibility of something refutes the argument.