
Eh. I don’t see any compromised insulation on any of those wires. Honestly, I wouldn’t even bother. Just head on up there with a nonmetallic ladder and poke that junk out of there with something nonconductive if you’re worried. I ain’t afraid of no volts. (And before anyone freaks out, that bare aluminum cable is structural, to prevent the wires from sagging. It’s not carrying any current.)
It seems to me that whatever built that nest decided to abandon it before moving in. There isn’t any visible bird shit around it which there certainly would be if it had birds in it (especially ones big enough to drag those sticks up there) and the lack of chewed material around it indicates a lack of extant rodents.
Ground wires don’t go from the pole to the house. Your home’s ground literally goes into the ground, either via a stake or by being attached to a cold water pipe. Having your ground connected to distant objects/poles/locations is counterproductive, because the extreme distance is likely to wind up with different potentials at different points, which would put current on the ground wire all the time, which is exactly what you don’t want.
Anyway, notice that the big bare wire is not actually electrically connected to anything and is only attached to a tensioner pulling it against the house. The ferrule on the end is to keep it from fraying over time.