Aye, you're more likely to see Julius Caesar trying to set up a system where he can nominate a 'successor' to the office with barely a senatorial rubber-stamp. That way you basically have a 'King' as Dictator, with not so much a familial dynasty but a political one.
Not sure it solves many problems for the Empire, but assuming Caesar survives as posited, then we might be able to avoid the second triumvirate - and have Caesar make Augustus Dictator.
I don't think will stop others trying to overthrow them, but at least there is slightly less precedent for overthrowing the Dictator than IOTL.
Frankly, I think if Caesar was to do this, and succeeded, he'd have sent other generals far from Rome to push the frontier for political, rather than economic, ends - if only to ensure that Octavian isn't challenged for control over Italy, and in an attempt to make an uppity Marc Antony, or Lepidus look bad, or trial by fire them into being a replacement.
Huh, that'd be a timeline to see, no wars between the Second Triumverate, but instead outward pressure - I wonder if we could see a Lepidus waging a punitive campaign in the desert, and Marc Antony marching to pacify Arabia - and throw in another rival to invade the Carpathian basin (or Octavian) - in case of a disaster, Octavian is closer than Antony, and Lepidus would be in the middle of the desert with the wrong sort of force. Cycle then repeats itself, with the borders growing and retracting.