Dealing with ongoing Cold War era skullduggery is going to seriously challenge any ideas of a speedy national unification. To wit, this is less than 3 years after the CIA helped orchestrate the Indonesian government's massacre of the political opposition, and the memory of interventions, coups and assassinations in the Congo, Brazil, South Vietnam, Laos, Cambodia, the Dominican Republic and Lebanon (just to name events within 1960-1968) are fresh in everyones minds. Unlike in OTL these atrocities aren't going to be covered up until after the Cold War or rationalized away by laying all blame on non-Americans, that's not going to work when the CIA documents in question are already declassified and even admitted to. Any notion of American moral superiority or anti-imperialism in the Third World is basically gone, and there are going to be plenty of anti-colonial movements that try to avert their OTL fate of being purged by a US backed military dictator. This isn't even getting into the impact of basically every ongoing national security secret getting disclosed to the 1968 body politic.
On the domestic front COINTELPRO is ongoing and targeted squarely at the Civil Rights movement, MK ULTRA only ended 1 year prior, and the population of the uptime Pacific US is going to want no part in prolonging the Vietnam War or helping the 68' FBI murder Fred Hampton. Reunification isn't impossible but isn't happening anytime soon.