There is no such thing as a "strict constitutionalist".
There are "strict constructionists" that use the text, and only the exact words in the text, of the Constitution, when considering whether a law is constitutional or not. I don't think you mean them, though.
I think you mean "originalists". These are people that believe we can understand the original intent of the Constitution and make ruling based on that understanding.
I'll remind everyone, while we're on the subject - all words are interpreted by the reader or hearer. There is no true interpretation of the Constitution, just the one you believe to be true.