The Moon does indeed have a center-of-mass anomaly, but its not responsible. Optical libration happens because the axis of rotation of the Moon is not exactly synchronized with its orbital plane. Also our vantage point on the surface of the Earth relative to the Moon depends on the time of day.
The tidal forces still happens even without the Earth's oceans. The effect is just more obvious on a liquid. The most important part is the size, mass, and orbits/rotation of each body.
The tides on Earth (which also slow down our rotation) is because of the influence of the Moon on us. However, the Earth's effect on the Moon was much stronger and the Moon is now in a permanent "high tide" always facing us one way.
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How does our water lock their face to us?