God says “Love me or die”

[Zen Badger]

You forgot to include the nature of God to keep belief in him a choice.

And when we exercise our free will and choose not to believe in him we are condemmed for eternity.

Uh, no. I think I can answer honestly here in the subject.

Free will is the power to make whatever decisions in life you wish to make, and take responsibility for them because they were your decisions. God would never condemn anyone to Hell. Whether you 'go to Hell'(which is a state of mind, btw)or not is entirely up to you.
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The bible has a lot in it about sinners going to hell.

There has never been validatable proof for this very reason. If miracles can be observed they can only be verified by the individual and believers and never outside that. It's frustrating for you but that's the truth of it.

So god will only manifest his miracles to those who already believe,

For an entity that you have previously claimed is undefinable you seem to know

an awful lot about his motivations.

It is not that God only manifests Himself to those who believe, it is that only those who believe will understand and recognize the ways in which he manifests Himself.

And God is defineable only in the sense that certain trais of Him are self-evident, i.e.- He loves us, because He gave us life.

So tell us unbelievers how to recognise those ways.