These aren't the only possible options. God is always capable of stopping a rapist, but He does not always do so for reasons related to the exercise of our free will. What options are there other than God is either capable or not capable of stopping a rapist? We already excluded sometimes capable, as at any given point in time, one who is sometimes capable would be either capable or not capable.
God is capable but not always willing to prevent the consequences of our evil choices.
God desires that we freely choose to love Him, but this freedom to choose necessarily entails that we be free to choose not to love Him.
We're not free to choose to love him if external stimuli tell us that he doesn't exist. Or can one love something which doesn't appear to exist?
This attempt to abrogate responsibility for your choice concerning God doesn't fly. THere are many people who have the same evidence for God's existence that you have, who don't have the "external stimuli" you assert is necessary for belief in God, and yet they
do believe in Him and love Him. The problem, then, isn't the absence of this "stimuli" you've mentioned. Its absence is not a barrier for all the many people who do believe in, and love, God. Why is it for you? Is it because you're smarter than all the people who believe? Or more perceptive? Or more logical? I very much doubt it.
Atheists don't choose to not love God. They don't even believe God exists. Therefore, they aren't the ones who enter into "darkness".
This is a non sequitur. If a smoker believes he will never get cancer from his smoking, is he guaranteed not to get it? Obviously not. If you don't believe the bus will hit you if you step in front of it as it passes by, will it therefore not hit you when you step in front of it? Does your unbelief negate everything you choose not to believe in?
That being said, who are the ones who enter into "darkness"? Could it be those who believe a god exists, but choose to reject such god?
Yes, them, too.
If God can do anything, then he can stop a rapist from raping a child. What about that do you not understand?
I never said God couldn't stop a rapist from raping a child. In fact, I said just the opposite. It seems you're the one who does not understand.
If God causes the rapists car to break down while the rapist is on his way to rape a child, he has not negated any freedom of the would-be-rapist.
And if God does this sort of thing every time the rapist attempts to rape somebody, what then? If I try to exit a freeway but find myself back on the freeway every time I do, is my choice to leave the freeway truly free? I don't see that it is. My choice to exit the freeway is meaningless if I can't actually leave the freeway. So, too, with a rapist. His choice to rape someone is meaningless if he is always prevented from successfully acting on that choice. And if his choice is meaningless, is it truly free?
If he desires for us to love him, then why does he choose to remain invisible and undetectable to many?
God is invisible to all, but He is not undetectable to all. In fact, millions of people have seen that God, despite being invisible, is nonetheless very real and evident. Does God hide Himself from some? No, I don't think He does. The evidence that persuades many to believe He exists is available to all.
As I said earlier, if God can do anything, he can stop a rapist from raping a child without impeding the rapist's free will.
Well, for reasons I explained above, I don't agree.
Selah.