The basic question seems to be, "What if there were no stars in the night sky?" and the dust cloud is just a mechanism to explain that. Another
[remote] possibility is an encounter or series of encounters that cause the Sun and its attendant planets to be ejected from the Milky Way galaxy ~2
billion years ago.
Stonehenge and other, similar agricultural aids would still work. Their main puprpose is to track the Sun as it appears to move north & south,
following the seasons (see
analemma), so I don't see agriculture as being affected.
The night sky would be black except for some faint fuzzy patchest that would have to wait for telescopes to resolve them as collections of... little
points of light. The invention of spectroscopy would be needed to establish them as stars.
A big question is whether we could see the outer planets, or were they lost in the ancient encounter (along with the Oort cloud & Kuiper belt, which
would mean no comets)? Seeing the moons of Jupiter & Saturn provided visual evidence that the Earth was not the center of everything. The phases of
Venus & Mercury, along with changes in their angular size, as they orbit the Sun also provided evidence for Galileo.
(Aside: I remember a very early Terry Pratchett book,
Strata where he made "one small change" to our Solar System by giving Venus a large
moon (like ours) that was naked-eye visible from Earth. Geocenterism never took hold because the evidence against it was readily visible to all.)
Without Mars or the outer planets, Tycho wouldn't have had much to study. Kepler would have been left without a mentor, and would not have had
Tycho's measurements of Mars' path through the sky. He almost certainly would not have come up with the equations for elliptical orbits. Newton
probably would have still come up with his laws of motion, but his Law of Gravity was built on Kepler's work. It would have probably been more
difficult to formulate with so few visible examples on which to test it.
Without the Law of Gravity, science takes a strong hit. The philosophical effects of it were profound because it showed us that the universe was not
solely subject to the whim of the gods. There were
rules and we could
figure them out. Although Galileo established the experimental
method, all of physics rests on the Newtonian revolution.