I am at a party. I drink wine till I'm drunk. Then I drink some more. So am I more drunk now, or drunker?
oxforddictionaries.com states that:
Adjectives make their comparative and superlative forms in different ways, depending on the base adjective itself.
According to Wiktionary, the comparative form of drunk is 'drunker', and the superlative form being 'drunkest'.
If the adjective were to have three syllables or more, then you would then use 'more', and 'most'.
oxforddictionaries.com uses the following example:
interesting---> more interesting---> most interesting
attractive---> more attractive---> most attractive
So to answer your question, I would say, "I am now drunker, than before."
In UK English usage the sentence could be either:
1 Now I am more drunk than I was earlier
2 Now I am drunker than I was earlier
Without any qualification the sentence sounds incomplete. I think a better construction for the sentence could be something like 'I'm more drunk than before, now' or 'I'm drunker than before, now'.