Um, okay, I'm not sure how Israel or NATO could be happy about a Jihadist group taking over Syria.
Turkey is another matter; they are clearly looking to expand their influence. (And yes, technically, Turkey is part of NATO... the USELESS part of NATO.)
So the question is, what does HTS do? Do they run a fundamentalist regime? I think they saw how well that worked out for the Taliban, so I would say, No.
More likely, they will play at reconciliation and coalition government to try to get international recognition and aid.
The only question is, will the other players go along.
Right now, HTS does not control Damascus, the Syrian Free Army (US Backed) and Souther Operations Room does.
With luck, all these groups can sit down and form a coalition government.
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If not, the civil war will resume.