IMO, Dark Souls 2 gets the online interactions perfect, in that I don't have to worry much about invasions in most areas or until NG+(I'm only past the first primal bonfire). But otherwise, teaming up is quick and easy. PvP/MMO has zero interest for me, so I'm sure I won't play NG+, but that's fine. Anyone interested in that sort of gameplay is the exact type of person who is min/maxing and naturally drawn towards refining their builds, and so I don't have to deal with them for the majority of the time.
NG+ is awesome because of the extra things added, and the changes made. Don't skip it because of Invasions.