I think your using my claims in a way not intended. This argument requires another tact I think.
Actually most Jews today are secular. At least I heard that, but it is surprising. Regardless there is a huge group of Jews that do believe in Jesus. They are called Masoretic Jews I believe.
Yes, I believe that specific group would be denied heaven, because they are doing exactly as the Sanhedrin did. Claiming to want to know God but when God showed up they rejected and killed him. Wanting a God you create, and wanting the God that exists are two different things. God said basically if you want me this is the conduit, they said no thanks and even destroyed the conduit. Believing in God alone is not enough even if sincere. A verse says even Satan and the fallen angels believe in God and tremble. Believing in the actual God comes with many other aspects that repel many people. You repent, you must acknowledge Christ as your savior, you must admit you do not merit heaven, and you must be born again. If you want a car most of us have to work to buy it. If I say I want the car but will not work then I really do not want the car. God does not require work but he does require a humiliating truth be acknowledged and accepted, most are too proud (which is why it is the worst of sins).
Sincere faith is followed by action. In this case not physical action but mental action. If I actually wanted God I must accept my status as unrighteous first, my sinfulness, my rebellion, my need for help, etc.. My father is one that won't. He is the nicest guy you could meet. He goes to church regularly and even practices charity often and loves his family. Yet I fear he is not saved and will not be in Heaven. He wants a God that looks down and says how good he is and therefor he is welcome. That God does not exist. I am afraid my father is worshiping a false God that does not exist and this kills me daily. Let me give a verse.
New Living Translation
They will act religious, but they will reject the power that could make them godly. Stay away from people like that!
http://www.religiousforums.com/forum/newreply.php?do=newreply&p=3642152
I was surprised to learn the definition of freewill in this context is the capacity to choose (not act on that choice) that which is desirable. I do not make a case that our freewill is total. God can and does over rule it on rare occasion. I claim we have sufficient freewill to freely choose or reject what we wish. Choice can and often does over ride preceding inputs pushing us in a certain direction. I can every possible motivation not to do x but choose to do it anyway. I do not claim motivations are not influenced but influences never incapacitate choice.
Ok, let me admit there are a tiny sub group of people who may not have freewill. In that case like a child's case I do not think they are held accountable. However a bunch of things come into play here. I believe much of what psychology brands as physical defect is the result of sin. Not all but a lot of it is the physical result of spiritual choice. BTW our free will and our lives can be terminated by God at any point. I forgot to include that. By his sovereignty he may terminate the arrangement at any time. Whether that means allowing a teens drug addiction to kill him or Nietzsche's atheism to drive him insane (or his immoral act that gave him a sexual disease to do so). Since 99% of us do not fit into this very very complex subgroup I think it wiser and sufficient to debate freewill as it normally is experienced. I do acknowledge your thoroughness however.