I will never use this sentence.
Why not jeg ikke drikker vin?
In Danish, central adverbs like "ikke" are (almost) always after both the subject and verb. One of those things you just have to memorize I guess :)
"ikke" goes before the verb when it's a subordinate clause and after the verb when it's a main clause
In what possible scenario would I not be drinking wine?
Det gør jeg aldrig .