Without a distance to the other moon or even by seeing your radar scanner, it's hard to tell if they are really close or if it's just a perspective illusion.
It could be possible that one of the moons is much further away than the other one but is much larger leading to a perspective illusion like this, especially when their orbits get close to eclipsing.
Or were they both showing similar distance?
You might want to study orbital mechanics a little bit, it's not quite as obvious as it'd seem at first. Those two are orbiting around each other fast enough that the centrifugal force balances out the gravitational attraction, keeping them roughly the same distance from each other. If you sat there long enough you'd see them spin around each other.
True, but I've no idea about the LOD mechanic in the game. They could be sending detailed LOD from quite far out. I just wanted to check.I thought the detail of the planet surface was telling enough.
Tidal forces would eventually rip them apart. These should be pretty rare.
Chances are they'd be tidally locked, so presumably no ripping apart.