Good answer. I agree with you. You mentioned "He cannot violate Himself" and that's well put. God can have limits but only limits He has placed on himself.
My point in asking this is because many who reject the doctrine of election do so in thinking that if God chooses whom He will save, then he would save all. My point is that it is God chose to make faith a requirement of Salvation. God in his perfect foreknowledge knows that not all will have faith. So in this sense, God is choosing not to save some people (those without faith). Now, this doesn't prove in any way unconditional election, but it does demonstrate that God is making choices in regards to our salvation. Does God want everyone to repent and be saved. As your answer was, yes and no.
Hey jbh28,
Here is an allegory. A man is drowning in a storm tossed sea. You are in a boat - the only boat. You are the only one in the boat. You really want to save this man - even tho you know that he is a despicable man. He is a man that has done you wrong. Nevertheless, you recognize that any life has value - even his - and that it can be changed to a God-honoring life. You clear everything out of the way so that you can get him in the boat; you brace yourself; you reach out for him. All the despicable man in the water needs to do is reach back and accept the salvation that you freely offer. You reason with him, you show him that you have made the way clear for him to come into the boat. You point out that there are no strings attached. You demonstrate your willingness to die, if you must, in order to help him into the boat. You even plead with him. The man still has to reach out and accept your free offer to save him. Whether he accepts or not - your desire remains to save the man.