Identifying Jesus is only a problem to those that believe a dead man still lives. To those that accept that he lived and died like all humans there is no problem.
Attempting to convince non-believers is the greatest test of faith and also a great way to strengthen faith. The greatest task is elevating Jesus to god status and selling this package to the world.
Without a living Jesus, there is no kingdom and no resurrection to heavenly bliss. I often wonder whether those that spend so much time trying to convince others that Jesus lives are really trying to convince themselves.