IIRC, when Earth's moon appeared as large as that big one in the pic, the ocean tides were something like a mile high.
(I exaggerate for effect [I think], but two overlarge moons too close to a planet would have significant surface effects.)
I think maybe you're too conservative. Supposedly the moon was much closer in Earth's early years and is constantly moving away and will one day break away.
(That was the back-story of Space: 1999, right?)
Tidal forces are allegedly key to the formation of the life process here, too.
What i find more fascinating is how the same side of the moon always faces Earth, but it hasn't always been that way, just coincides with human civilization.
Two moons do that in the Arrakis system.