Sock toe.
The difference I have done here is NOT to chop away the excess, rather glue it back in the same place, just without the toe box. All I have done is to separate the layers, remove the toe box and then glue the shoe back down.
The steps I have taken are -
1. Remove the upper starting at at the heel. Because this is a complete re-wire, the heel cup comes off to allow full access to the two holes that the wires feed through. I have removed the upper 3/4 the way from the sole leaving the EL side still attached. On my US8 display pair, I completely removed it and I think this way is better. I'll know for sure when I go to glue those uppers back down.
2. Remove the toe box. Once the upper is opened up, you can see the stitching that seals the toe box. Some people cut this excess off. I have elected NOT to do this, so the toe can slump like the movie shoe. The stitching is easily unpicked and then you can separate the layers. I also keep the inner layer. Some guys take this out. I think for a wear pair, you still need some extra fabric inside so your toe nail does not wear its way through the top layer. The toe box itself is a course weave looking something like bandage material. It is bonded with a foam and feels slightly rubbery. This layer should come away from the top and bottom shell layers. If it does not, a bit of heat will soften the glue and it should just peel away. It leaves foam on the inside surface. It is up to you if you want to sit there and pick all that off.
3. Fold and tuck, not nip and tuck. Something else I DO NOT do is remove the pink card board. I know alot of guy cut this away, but there is a reason it is there and that reason is to give the shoe shape. If I do remove this, I make sure I replace it with something else like plastic. You will have a glue line to work to, so just make sure you pull the fabric right over the cardboard and press it into the mid-sole. if you have those spring loaded clamps, use them. The pair in the photo still need the final edge gluing done.
I used what must be my favorite glue at this time - Tarzan's Grip - because it is both flexible and water resistant. Liquid super glues tend to be brittle and while I used to use them for everything, found this glue easier to use for this part of the operation and is especially good for gluing soles back on shoes. I have had to repair a pair of Colorado boots and I used this stuff to glue the soles (layer under the sewn layer) back on with great success. The only thing is it needs time to cure and you are best to leave the shoes for at least 12 hours.
Hope this helps. If you need more of a visual reference, watch my video on the sock toe slim mod.