The situation now in Iran is a power vacuum due to its Supreme Leader having died. It’s not necessarily subject to infighting. It’s not believed that changes in leadership are fractious in Iran. It’s reported that disagreements are usually ended shortly before the real decisions have to be made.
The internal Assembly of Experts will be expected to make a final decision on the next Supreme Leader for Iran, to follow Ali Khamenei. While it’s believed this Assembly did not prove to support Khamenei to the end, it’s thought that it has a new resolve and it’s likely to support his successor into the future.
The state of affairs in this regard is different to that in the West. The list of candidates is shorter and obviously does not include the population at large. Many people are already familiar with leaders who are appointed to high position, and therefore it’s not likely to lead to much civil disturbance.
The protests may continue because Iran also has a strong academic culture that runs deep and has powerful branches. This is a bugbear for Iranian leadership because it proves strong and is a frequent rallying point for disaffected students in many walks of life.
The appointment is not going to be a surprise to observers around the world, who see Iran as a country that remains virtually the same no matter who it is, and have already witnessed the mechanics of a process that also rarely shifts its focus to produce similar results. 
