Should analytic metaphysics be discontinued?

Yes, because it fails in its goal to discover facts about the nature of reality.

"almost all claims by analytic metaphysicians that are not anodyne are refuted by contemporary fundamental physics."(Don Ross: Will scientific philosophy still be philosophy? 2013)

Every Thing Must Go: Metaphysics Naturalized by Ladyman and Ross (2007) has already become a classic. The book is filled with juicy quotes. Although their positive view, information-theoretic structural realism, is still too philosophical to my taste, I agree wholeheartedly with what they say about analytic metaphysics:

"contemporary analytic metaphysics, a professional activity engaged in by some extremely intelligent and morally serious people, fails to qualify as part of the enlightened pursuit of objective truth, and should be discontinued."

"standard analytic metaphysics (or 'neo-scholastic' metaphysics as we call it) contributes nothing to human knowledge"

"a group of highly trained professionals have been wasting their talents - and, worse, sowing systematic confusion about the nature of the world, and how to find out about it"

"metaphysicians have constructed a hermitically sealed world in which they can autonomously study their own special subject matter."

"No scientist has any reason to be interested in most of the conversation that now goes on under the rubric of metaphysics."

"Mathematics and science have undoubtedly borne fruits of great value; a priori metaphysics has achieved nothing remotely comparable, if it has achieved anything at all."

"There are three ways in which analytic metaphysicians who rhetorically emulate science sometimes or often fail to follow through their naturalistic pretence: 

(1) They ignore science even though it seems to be relevant. 

(2) They use outdated or domesticated science rather than our best contemporary science. 

(3) They take themselves to be able to proceed a priori in the investigation of matters upon which they claim science does not bear."

"for neo-scholastic metaphysicians intuitive judgments are typically all that ever passes for evidence."

"We think that such people are indeed doing nothing but revealing properties of themselves and don't usually realize it."