Not sure thats even true of most christians, after centuries of reform. I don't think significant reinterpretation is a deliberate process. Rather people are actually putting their values into their scripture, to which there is often a limit depending on the circumstances.
That is true. Many christians (in the west) have adopted a mellowed approach to religion, and therefore we have cultural christians, who might never have really read the bible, nor care about what the bible says. They just pretend their scripture is preaching the same thing as the secular humanist values found in their societies.
Some muslims are trying to do the same, by preaching that Mohammed was a champion of feminism for example, but yet most of them can't get away from him marrying a nine year old, verses like 4:34, women inheriting half of men, women not having the same right to divorce as men, polygamy etc. They will just use some sort of warped Islamic logic to sugercoat those problematic aspects of Islam.
So there is either one of two I guess,
1. Muslims at large adopt a similar mellowed approach to religion, where religion doesn't get to dictate all aspects of life for muslims. They keep religion out of sociopolitics, because that is a sure recipe for disaster anyway.
2. Muslims at large acknowledge that there are problematic aspects of Islam, which need to be acknowledged and dealt with, instead of sugercoating them.
In a country like Pakistan, either of two unfortunately seem quite hard to achieve.