“To my knowledge, many Conservative synagogues will still go through the entire sedrah in the course of a week; they just break it up differently (so that a little is being done at Shabbat Shacharit, a little at Mincha, and a little on Monday and Thursday).”
I have never heard of such a system. Even my mother’s Conservative shul, whose rabbi is extremely knowledgeable and considered “right-wing” Conservative, does not have enough members who can lein in order to cover the full sedrah. As it is, they can barely scrape together the triennial leining. Kal v’chomer the less traditional Conservative shuls certainly can’t do it.