Any new(er) carbon frame will have a 1-1/8" or a 1-1/8 x 1-1/2" tapered steerer and certainly be threadless so you will need new headset, fork, stem and probably new bars to match the current 31.8 mm stem clamp diameter. As mentioned, if your bottom bracket is Italian threaded you will need a new bottom bracket. That will be no problem if the new frame is English threaded but if you buy a frame with one of the multiple press fit "standards", finding a suitable bottom bracket may be something of a treasure hunt. Finally, you will most likely need a new seatpost as it would be just luck to have the diameters match.
This swap is doable but won't be real cheap.