The snip about the cold war winding down can be also a new leaderships in Moscow deciding to try some detente-like policies due to cost of mantain the armed forces and the revolt in the east...basically Krushev a decade later and for all we know can be a temporary thing.
China is a clusterfuck for the time being and probably for a couple of decades more, lost too many people (more than 10% of the population due to the war with the URSS, the civil war and the mass emigration), too much destruction, too much warfare and ITTL Eastern Tigers will have a serious problem regarding the chinese minority/refugee that can cause serious civil disruption even if we can butterfly away the Vietnam War we can't presume that the Yellow banner will not be an hostile force strong enough to cause similar event.
Not considering the fact that Tibet it's independent, there is an Huan nation and Mongolia annexed part of the chinese territoy, so relations with their neighbourgh will not be pretty as any KMT leaderships will desire getting back/in the fold the wayward territories.
An Oil crisis was and will be always on the premise, the various arab states regardless of the type of regime in the end will be fed up by the seven sisters control of the black gold and will want their share; this can be engulfed in a new Israel-Arab war event (maybe even somekind of hodge-podge coalition like 1967) and worsened by the fact the usual Israelian patron aka France and UK will probably not have the political possibility to distance themselfs from Tel Aviv due to the previous success of the Suez operation and the second holocaust (same for the US but probably in a more 'behind the scene' role). Regarding terrorism, i fear that the possibility of an ITTL 'intifada-like' revolt are very slim as Israel seem have been received the permission for mass expulsion of arab from the territory that controls (and in case she acquire Gaza and Cisgiordania the same will happen there), it will probably more like the 'war of attrition' of the 70's with added attempted incursion.
Finally, there is the possibility that the oil crisis will be somewhat mitigated by an enlarged nuclear civilian program as off-shot of the various military ones.
Recession and oil crisis can be some relative term, maybe are a shock for the people of the time, as the 60's were a very prosperous time expecially in Europe as it was the apex of reconstruction, but are somewhat a lesser version of OTL event; for the USA expecially if there is no a Vietnam War or some analogue.
The ITTL International terrorism of the 60's/70's will be much different form OTL; communist group will be probably much smaller as they will must face the ideological competition of the syndacalist and probably extremist from both side will target each other and the Egyptian attempt to return to the middle age (relatively speaking) will have much much lesser appeal than OTL for the people in the west due to their own radical changes...even if fellow traveller will always exist. The political cause that will take more prominence will be probably decolonization, as while non avoidable, both France and UK (and the other minor powers), will want that happen at their term; due to that it's probable that Portugal will receive somekind of support for their colonial warfare or at least not be subjected to weapons embargoes.
Nuclear proliferation will probably been seen as a good thing ITTL as a mean to bring stability (i have WMD, you have WMD...so don't play strange games)...at least while western nation are the one with the bomb.
