Reference

Mark 10:38

But Jesus said unto them, Ye know not what ye ask: can ye drink of the cup that I drink of? and be baptized with the baptism that I am baptized with?
36

And he said unto them, What would ye that I should do for you?

37

They said unto him, Grant unto us that we may sit, one on thy right hand, and the other on thy left hand, in thy glory.

38

But Jesus said unto them, Ye know not what ye ask: can ye drink of the cup that I drink of? and be baptized with the baptism that I am baptized with?

39

And they said unto him, We can. And Jesus said unto them, Ye shall indeed drink of the cup that I drink of; and with the baptism that I am baptized withal shall ye be baptized:

40

But to sit on my right hand and on my left hand is not mine to give; but it shall be given to them for whom it is prepared.

Counter-Arguments

The strongest case that this verse does not belong in this theme.

Total Abstinence

The verse uses "cup" and "baptism" metaphorically to refer to suffering or destiny, not literally to a drinking vessel or a ritual involving water, and therefore has no direct or implied connection to alcohol.