Given the composition of the court, the chances of them striking down this iteration of the travel ban really seem slim, as in many ways it seems to simply reiterate the Obama-era approach to countries who do not fully cooperate with the US demands regarding visa screening, only using extreme sticks instead of carrots.
On the other hand, there might be two additional factors, that might discount each other. On the one hand, the ban does not flatly deny the possibility to dual-citizens gaining a visa, and it seems safe to assume that at least part of the 6000 selectees have dual citizenship. On the other hand, is seems likely that the ban would create a substantial chilling effect, disincentivizing the application of people from these countries, even if they can formally apply, in light of the costs involved and the diminished chances of success.
Another general factor that might be taken into consideration is the effect of the "extreme vetting" policy, in place since June, regarding all consular processing of visas. Now, some will say that this changes nothing, as the vetting has always been strict, and it cannot possibly become stricter. Well, this is precisely what I thought when I came to renew my visa stamp this summer. This was my fourth interview within the past six years, and so far it was always relatively short, and I had the visa in hand within several days. This time it was clear from the start that they intended to be as nitpicking as possible, requiring documentation of every little detail, and taking every "red flag", even the remotest, to require AP, including issues that were not even discussed in past interview, despite being listed in our forms, like the horrible crime of holding a bachelor's degree in chemistry! One might reasonably expect much more APs this cycle, however it may effect the process.