History debunks your theory. Lots of idiots choose death. I think the people participating in this thread who say they would choose death would honestly choose death.
Eh... times are different.
People these days are a lot better at partitioning their faiths to only certain areas of their minds and lives, and coming up with reasons why whatever they're doing at the moment is permissible even when it's against their religion.
Reason? They have to be. What kept religion cemented so deeply in people's minds for so long was the complete lack of any knowledge. Everything in life had to be appealed to the gods, because there was nothing else -- no real medicine, no real historical knowledge, no real science of any kind.
People these days in the West have answers for a lot more things. While some choose to disavow certain aspects of or modern knowledge (see creationism), they very rarely do it with things that affect them personally. There aren't very many Western Christians these days who even follow the mandate not to masturbate, much less things like rejecting medicine in favor of exorcisms.
They can't avoid the inevitable conflicts between what we know to be true, and what religion tells them they should do or think. And most of the time, they will choose to go with what is known rather than religion, when they know that going with religion would cause a bad outcome for them (i.e. they know that illness is not caused by possession by Satan, and thus rejecting medicine would lead to their death, so they go with medicine).
We see the same thing even just on an ethical level. The brutal ethics of much of the bible are not followed today because we're just more ethically developed. And Christians find all kinds of justifications for shirking the ethics of their holy book.
So, they have gotten really good at finding ways to excuse themselves from certain religious beliefs or teachings, because they have to, and because it benefits them to do so. Reality is in constant conflict with their religion, with everything we know these days as a society. The effect is that they've got their religion over here in this side of their brain, and dealing with reality over there on the other side of their brain, and never the two shall meet.
Modern Christians of the West don't believe in exorcism over medicine, stoning, or gender chattlehood anymore, ya know? It's just intellectually and morally backwards, and there's no way for them to reconcile it with their improved modern knowledge. So they come up with some kind of reason in their mind why it's ok not to follow those beliefs anymore.
The kinds of people who are willing to die for their religion are generally coming from places where such knowledge and ethical development is in much shorter supply. There's no conflict, because they don't have any other form of knowledge besides religion. Their belief doesn't just occupy one half of their brain; it occupies all of it.
There are
very few people in the West that is true of. I suspect there would be at least a few people who say they'd rather die, who wouldn't if they were really put in that situation. They'd come up with something -- "God knows my heart" or "I'll repent and be forgiven." Because somewhere inside themselves they know it's just not worth dying over.