Mike Rappaport and I have defended the proposition that the Constitution is written in the language of the law. We recently noted in a post that much of modern originalist scholarship by academics relies on this language in interpreting provisions of the Constitution.
Another important indication of this legal turn in originalism is Reading Law: The Interpretation of Legal Texts by the late Antonin Scalia and Bryan Garner. There they suggest that interpretation of law must be guided by canons of interpretation and offer an analysis of fifty seven such rules. While some of these canons might be considered purely linguistic, many others are clearly legal such as the rule of lenity, the absurdity rule, and the rule that implied repeals are disfavored.
The renewed attention to legal interpretive rules also reflects the rise of legal formalism after its eclipse by legal realism.