Crossword Genius

Man in the street knocked back drink with melting ice, drinking litres behind bar (3,6)

Ross

I believe the answer is:

joe public

I'm a little stuck... Click here to teach me more about this clue!

'man in the street' is the definition.
(I've seen this before)

'knocked back drink with melting ice drinking litres behind bar' is the wordplay.
I cannot really see how this works, but
'litres' could be 'l' (abbreviation for litres) and 'l' is located in the answer.
'bar' could be 'pub' (I've seen this in another clue) and 'pub' is found within the answer.
an anagram of 'ice' is 'eic' which is located in the left over letters.
The remaining letters 'jo' is a valid word which might be clued in a way I don't understand.
This may be the basis of the clue (or it may be nonsense).

Can you help me to learn more?

(Other definitions for joe public that I've seen before include "The general populace" , "... and all those around him?" , "Man in the street" .)

I've seen this clue in The Independent.
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