It doesn't compute. The term "realist" has had different meanings over the centuries and from metaphysician to metaphysician. In the late Middle Ages, there was the nominalist/realist debate, where a "realist" was one who held that universals (or generals) were real, while a nominalist thought they were "just words". Totally separate from that, in the early 20th century, when idealists like Bradley were prominent on the scene, their opponents starting calling themselves "realists", in the sense of there being real stuff outside the mind. (Since ontological differences are basically differences over what one should call "real", this move by the idealist opponents was basically a move to prejudice the debate: who doesn't want to be thought to be realistic?). And so, since the opponents of idealism pretty much came out on top, the opposition "idealist vs. realist" has entered the historical lexicon.
What this means to me (being a realist in the old nominalist vs. realist sense), is that it is better to just not use the word 'realist' (or 'anti-realist') without a lot of clarification as to what sense one is using the word. But with that clarification, one can, in my opinion, argue, as BK has done (and as Coleridge did before him) that idealism is the most realist ontology. It is the other ontologies that make stuff up.