I do agree that QE, like many things, have both negative and positive attributes. Very few things are 100% bad. It's similar to many different arguments that might happen for ideological or political reasons -- for example, everyone agrees that they want their children to be safe. However, they differ greatly on how.
QE, to me, is one contributing method for a nation to achieve certain goals, and most people implicitly agree with those goals. They probably differ greatly on how those goals can be obtained. I'd go further that the implicit agreement comes from people being ignorant of how money really works.