We have a climbing vine that has spread from the tree to wrap itself around the electric main to the house. Is it safe to cut it off at the base? Can the vine potentially conduct electricity to the point of the cut? Will cutting it kill it?
Responsibility for the service drop (the wire from the utility to your house) lies with the utility. Generally the demarcation line is the splice between the service drop and the conductors leading up the mast.
Your electrical utility thus may be willing to clear these vines.
The wires are insulated, though you can't trust the insulation is perfect. The vines won't conduct enough electricity to matter. But if you cut the vines they'll die and dry out, and be far harder to pry off the line. Damage from the vines will at first be mechanical, as the weight of the vines especially if it's windy can be significant.
If you do clear the vines yourself, use a wooden ladder, wear electrician's insulating gloves, and gently unwrap the live vine without risking directly touching the insulated service drop wires. If you see flaws in the insulation, call the power company right away.
Those don't look like a power service drop. There is one in the background that you can make out the triplex. They are likely telephone and cable. A picture of where those wires terminate on the house would clear that up.
The plant is a grape vine. One of those wild ones that tends not to fruit much.