Oh, I'm sorry, Tim. The correct answer was yes, not no. Thanks for playing.
I feel weird telling the christian how to better argue with atheists, but here goes anyway. I think it's good that you recognize the core problem: the question is actually if god can make logical contradictions. But I think you should have answered yes. You really back yourself into a corner when you say no. I'll explain.
You see, your position eliminates the Transcendental Argument for god, or TAG, as it is popularly known. It's a common aplogetic that states that logic is impossible without god. God is the author of logic and reason, and therefore he is able to bend, mend and break those rules are part of his omnipotence. While I am glad to dismiss the TAG, I don't think you either meant to do this, or never even heard of this apologetic you just refuted yourself. Again, we come back to why I asked FIRST how much you know of apologetics. If god is the author of logic, he can make logical contradictions, no problem. So I suggest that when you are asked this question next time, you answer, "YES."
Your position also makes the christian god impossible. I know I'm arguing the character of god and not the existance of god. Trust me. If you convince me the christian god is real, you don't have to worry about me accepting any god is real. Besides, if you want to talk deism, we'll get into a comparative religion topic, and I think we both agree that's not what we want to do. I mean, I'm down for it if you want, but you said you didn't.
The christian god has more than one logical contradiction for which you'll need to account. Not only is this being supposed to be omnipotent, it is also supposed to be perfect. A perfect being cannot create anything less than perfect. Your god should not have been able to make angels that turned to demons, or people that would fall from grace. If he is perfect, only perfection can come from him. It did not. That's contradicition #1.
But my personal favorite is that your god is also supposed to be all-just AND all-mercifull. Justice and mercy are mutually exclusive. I define justice as, "you get what you deserve," and mercy as, "you do not getwhat you deserve." If you have different definitions, you'll need to let me know what those are.
If god is just, then he gives people what they deserve. If god is merciful, he does NOT give people what they deserve. Therefore, he cannot be both all-just and all-merciful. In fact, with regard to a single person, he cannot be both just in any way AND merciful in any way. He must be one or the other. There's contradiction #2.
But again, neither of these problems is any concern, so long as you admit your god is a god of logical contradictions. I didn't even mention the bible..... There you'll find contradictions #3-???
Tim, I'm worried about you. Eventually, these kid gloves I'm wearing here are going to have to come off. But that doesn't have to happen now. So tell me, honestly, is this the first real exchange you've ever had with an atheist? It's okay if it is. Everyone has to start somewhere. But you should know by now you are not the first believer I've debated. The first one was the toughest to convince. It was me.