That's the basis for my earlier syllogistic argument. IF God wants us to believe, he knows what it takes for us to come around and he can easily provide what's needed.
Try this thought experiment....
A being appears to you and claims to be the real, true God. BUT he isn't the Abrahamic God and he denies the divinity of Jesus.
Naturally, you are skeptical. Right? So your first question might be "How do I know you are the real, true God?"
My argument is that the real true God will be able to answer that to your complete satisfaction. Because he will know what it takes for you to believe, and he will be able to provide that proof.
So . . . if God really does want us all to be saved, and if being saved requires faith, and if God can easily prove himself to everyone's satisfaction, then why are there non-believers?
To me, there are only a few possible resolutions to this conundrum. The main ones are:
1. God doesn't exist;
OR
2. Being saved doesn't require faith;
OR
3. God doesn't really care if we are all saved.
I think you are horribly underestimating the impact of free-will on mankind.