Could you elaborate on that? Since that doesn't make too much sense to me. From what I know, the movement goes in the opposite direction: much of what was considered "grammar" in the past has been reinterpreted as a part of the lexicon, now that we actually have adequate technology to work with humongous corpora.
Sure. Linguists consider grammar to basically be what a person knows in order to say they are a fluent speaker of their language, which includes understanding words in that language. More narrowly speaking, lexical information is tied to syntactic information because certain syntactic constraints are imposed by our lexicons.