I would suggest the position could be viewed this way:

If a lifeguard saves five people from drowning, but intentionally drowns one person, wouldn’t a human judge still sentence them as a murderer even if on “net” they are more good than bad?

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Discussion

How is the trolley problem related to believing in God as a prerequisite to enter Heaven?

It’s not the trolley problem, but rather an illustration that “good” deeds can’t offset the “bad” that keeps us from God/heaven. It was my feeble attempt to reframe the perspective. Perhaps another way: A hole in a ship’s hull leads to sinking even if most of the hull is intact.

It’s not a matter of weighing good relative to bad but rather the understanding that bad exists in us at all and that bad is what keeps us from God/heaven.