Yes, in a formal ideological sense. The practicalities of running a state were Soviet/Stalinist in practice, both formally (the SU was an ally) and informally

Yes, in a formal ideological sense. The practicalities of running a state were Soviet/Stalinist in practice, both formally (the SU was an ally) and informally (look up hitchens talking about Stalinist influence on the baath policies, especially Saddam's famous purge. Nazism also had some (mostly earlier) influence. Some was informal. Some is formal. The Syrian Social Nationalist Party is still quite influential (also to an extent in Lebanon). It's part of Assad's coalition and one of the parties allowed to formally exist in Syrian politics.