I see it as a plea to an elderly person who has lost (or never had) his religious faith.
"The time has come to travel …" refers to death, but with no belief in an afterlife, what will happen to him?
The "sleepers" in verse two are those who cannot see God [whichever god you happen to believe in] and the writer asks what more proof do such people - agnostics, atheists, non-believers, etc. - need to believe?
The final verse calls for them to restore their faith in "the man with the answer" (i.e. God) in order to attain the final prize - heaven.
(NB: Strange Affair is based on a poem by Muslim Sufi poet Si Fudul al-Hawari. Given his religious background, the above interpretation of the song would seem to be appropriate. However this interpretation does NOT necessarily reflect my own religious or secular views.)