There is more than one conflict in The Hobbit.
The conflict with society would be with the river elves or Bilbo interactions with the dwarves as a group.
But there is man vs man, man vs society, man vs enviroment
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The main theme of The Hobbit is good vs. evil.
Beorn
A hobbit barrow is referred to as a 'smail.'
When both Jack and Ralph stood as possible leaders Roger suggested that they should have a vote. The result was that Ralph was elected as leader and placed Jack in charge of the former choir as a consolation prize.
I would say an example of man vs. self conflict in Twilight is Edward vs. himself. Because he has to fight against his thirst for Bella's blood to save his love for her.