I can not see why the Jacobins need to do more when they have already a Costitutional Monarchy led by a King who is 100% involved in that role, is happy to do it and has no reason for betray the country...IR? War of 1st Coalition will end up being the War of French Succession. Providing France is willing to compromise in Flanders I think they can win such a war - probably end up with minor gains such as Ostend to Namur. Provided Antwerp isn't French I think the British will be satisfied. They may even accept a French Brussels but if that happens I think annexation of the rump Austrian Netherlands by Holland is likely.
There just isn't the popular support necessary for a civil war between Louis Phillippe and the Jacobins and the Bourbons. And foreign intervention without popular support ended badly for the absolute monarchs even when France was in a much worse position.
If Louis Phillipe can be successful then I think he keeps the Generals onside and if he can manage the Jacobins (much less certain) then he can prevent the terror.
The interesting alternative is for Louis Phillipe to fall out with the Jacobins and a French civil war to break out. If the royal party is relative secure and popular then the war could be a long one absent intervention which I think is likely and very messy. But you don't get a "natural borders" France out of this - that would be for an alt-Cromwell (Napoleon?)
Better follow him than risking to have the absolutist traitor Louis XVI back on the throne with foreign support... The Terror is not inevitable in 1791 and a successful flight of the King with the passage of the crown to Philippe Egalite as Costitutional King likely will be enough for stabilizing the country