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human
[Oblivion 2013] The Moon was shattered at the start of the invasion, what happens next?

In Oblivion we see the shattered Moon in the sky throughout the movie. Jack mentions in a voice over that when the Tet arrived the first thing it did was attack and break the Moon.

So as a regular citizen, what effects would I see from that? How different would it be for someone in Kansas versus someone in New York or on the shores of Lake Superior?

Would civilization survive if the Moon were destroyed in that manner but otherwise the Earth wasn't attacked?
gpt
Starting with the obvious, if the Moon is broken into pieces, especially in a violent fashion, then, as the nearest major source of gravity, some of those pieces are, just naturally, coming our way. The Moon's orbit grants a substantial degree of angular momentum, a little over 1000 km/s in an elliptical fashion around the Earth, which all of its broken up parts will also retain. This is why it's actually very difficult to launch something into the Sun from Earth, because anything fired from the Earth will have the angular momentum of the Earth's orbit and so would continue going around, instead of falling into, the Sun. Because of this effect, initially, only debris ejected from the moon in something resembling opposition to its orbit at something approaching or surpassing its orbital speed would actually strike the Earth - the majority will continue in orbit, forming a cluster of asteroids (akin to what we see in the film), and some will be ejected away from the Earth, likely to enter higher orbital altitudes around the Sun. None the less, that's a substantial amount of moon rock coming our way.

Impacts from those initial moon-bits that did fall to Earth would have widespread ecological impact: dust clouds, earthquakes, tsunamis. A lot of areas would die out in the impacts, the Earth would likely lose a lot of sunlight as the dust spread through the atmosphere. 

Additionally, there will be an impact on the tidal forces of the Earth. Most of that mass of the Moon is still up there in orbit, so it's not like the Moon disappears completely, but the shape of that mass has changed, resulting in a differently shaped gravitational effect. Whether this resulted in more or less extreme tides depends on a lot of factors, but either way, it would mean flooding of some kind, somewhere, and *maybe* seismic activity. Connection between the moon and Earth seismology has never been definitively determined, but also never been categorically disproven, so we're just not sure on that one.

The biggest impacts are going to take effect over a longer term. In the film, it looks like roughly half the moon is still intact, so that is going to provide a gravitational centre for the bulk of the debris, which helps to cluster that debris. Additionally, the moon is actually retreating from the Earth, at a rate of about 3cm per year, which will also encourage a lot of debris away from us, or, at least, marginally decrease the speed it comes towards us. Being broken up in such a fashion may even increase the speed of the Moon's retreat. However, over time, that debris is none the less going to become more spread out - we can expect bits of moon to reach a tipping point where they can fall into our atmosphere consistently, and in increasing fashion, over the decades and centuries and millennia after such an event. This will cause combinations of surface fires and smoke, and dust clouds and debris, making Earth a reasonably harsh place to live.

Longest term, on the scale of hundreds of thousands and millions of years or longer, the change in the gravitational balance of the Earth/Moon system will have an effect on the Earth's rotation and orbit. The Moon as it is has a stabilising and arresting effect on the Earth's tilt and rotation, and the orbital speed of the Earth is determined in part by the mass and mass distribution of the combination of the Earth and Moon as a pair - our Moon is uncommonly massive, relative to the Earth, than the moons of other planets, so if that relationship changes in a significant way, the effects are widespread and substantial, if gradual. Eventually, our days will get shorter, as our planet will spin slightly faster. Our years may also get shorter, as the Earth may go around the Sun faster. We may start slipping to a higher orbit from the sun as a result, meaning we recieve less of its energy. And our planet's Axis will begin to tip more, leading to more extreme summers and winters. To what degree those things will change will all depend on how much of the Moon's mass is lost into outer space, how much it spreads around the Earth into rings or even a cloud of debris, and how much of that mass actually transfers to the Earth.