there is a consensus in Christianity that the 'suffering servant' was Jesus Christ. If Jesus was betrayed by one of his followers, humiliated by his captors, stripped, flogged with a cat 'o nine tails and had thorns driven into his scalp after being in the Garden of Gethsemane all night while sweating drops of blood from anguish, this torment would be very disfiguring and dehumanizing. It is 'wise' in that he did not yield to the temptation to not 'drink from the bitter cup' and avoid being crucified, thereby making the atoning sacrifice.
Seems to me there are a few ways to interpret the evidence. One could very obviously make comparisons to the Suffering Servant with Jesus prima facie, but then, it is also vague.
The alternative was that Jesus set out to create a self-fulfilling prophecy for himself, intentionally trying to draw comparisons between himself and messianic literature.