It really depends on what you find interesting. Working on healthcare policy (esp. right now), crime and justice, sounds fascinating to me, whereas I've found the pharma projects I've worked on to be very slow-moving, bloated, and boring. It's horses for courses.
It sounds like you're contemplating swapping a type of work you don't like in a sector you do like; for a type of work you may like more in a sector you're less keen on. Solely on this basis, it may be a reasonable stepping stone into your target quadrant (work you enjoy in a sector you like) in another few years - by that point you will hopefully be able to demonstrate both ability for consulting, and experience/knowledge of Pharma.