Sierra does not recommend a fast twist in their data for the 300 gr MK, so I doubt if you will experience stability problems with it. I also doubt that you will achieve 2500 fps with this bullet from in a .338 Winchester, even if you have a long barrel. If you are able to achieve that velocity, chances are it will not be the most accurate load you could choose, and in long range shooting, accuracy trumps velocity. You should be able to hit 2400, and with the high BC of that bullet it will be a good choice as a long range bullet. If this isn't enough I suppose you could rechamber to a large capacity, powder eating round like the .338 Lapua, .338/378, .338 Ultra, etc.
According to my ballistic program, the 300 gr MK starting out at 2400 fps at sea level remains super sonic to 1455 yards. Work up a good accurate load, don't worry to much about the muzzle velocity, as long as the numbers are consistent. A couple of weeks ago I surprised myself with a group I shot at a GPS'ed distance of 1038 yards. This was with my .308 shooting a 200 gr MK chronographed slightly below 2400 fps.