As the article says, the Quran is actually a far more benevolent text than the other major scriptures. And yet, it is the Muslim countries where the punishments are the more strict and indeed horrific. So it must be the cultural interpretations, as you put it, that are contributing to this situation. The question to ask is this: Should this be changed, and if so, how?
How can you is the big question. Interestingly as a matter of more relevance to us, Sir Syed Ahmed Khan for all his good efforts to bring Muslims to modernity made a mistake as he inadvertently encouraged the dissolution or rather irrelevance of many Madressas that were providing the service of passing on religious knowledge based on that of the original preachers in the subcontinent. So much so that only Deoband and Bareilvi survived as proper schools. That led to a loss of what was nearly a 1000 year development process of knowledge that began with the Prophet and culminated in the preachers who arrived here and understood local customs and ideals. What was left then were uneducated( lest we continue to confuse a paper degree awarded as education) or less than astute individuals who with their lack of knowledge and the continued feeling of being isolated and beaten(by infidels) resorted to extreme ideals and greater control over society. That permeated out to Deoband too.
Had Sir Syed incorporated that system instead of rejecting it outright there may not have been a such a large base ready to promote extremism in Pakistan.