Neocons are the greater immediate threat, due to their control of governments. However, their voter base has waned in the past few years or so, due to a combination of the resurgence of other ideologies and deaths from old age. Barring some serious electoral fuckery, they'll likely be mostly gone from government within the next 30 or so years.
And that's where tankies become a longer-term threat. You're already starting to see wicked subversion within younger generations, as well as weaseling into positions of power. The Antifa-tier bullshit won't get better anytime soon.