Resurface uneven stone fireplace
Can this be resurfaced, Yes.  You have several options but first we would need to know what kind of finish you desire. If it is a smooth surface removing the stone is not really that hard but very messy. I use an air chizzle with a wide blade to pop the stone off. In some cases there is brick behind the stone in others just the wall. I have done both in the past. Once the stone is down it can be sheetrocked or a different surface like tile. The last couple I did were large like this and both were removed and sheetrocked making a smaller area and mantle just around the fireplace the look was more modern than the 60's era wall. One in my home I put up cement board over the brick with a concave shape floor to ceiling ~8´ wide and used terracotta square tiles cutting the stone /tile area to 1/3 the original width I thought this looked , still looks nice, so it comes down to what do you want. The sheetrock remodels were less difficult on the brick I installed furring strips to attach the sheetrock the area connecting to the fire box I used large 18" slate slabs around the opening, on the other was porcilin that the owner ordered both looked quite nice 1 with collums to support the mantle made of wood the other mantle was supported by the brick work behind the wall.so it can be done, but it is a messy job to remove I would recommend getting a large painters tarp to put down to protect the flooring and in the area you are working I put down a sheet of plywood for the stones that pop off that you don't catch hit the plywood and further prevent damage to the flooring during the demo work.