I mean, the post-revolutionary French government was carefully installed by the anti-revolutionary monarchies of the rest of Europe in 1815... Maybe their people weren't on-board with each other, but during the Concert of Europe, France, Austria and Russia depended on each other to help put down any revolution in any country... This was their priority between the Congress of Vienna and the Crimean war.. And it worked pretty damn well. The Italian question only started to become a question in the 1850s, ten years after the OP's date.
That was before the 1830s. The Concert of Europe basically broke down after that; Greece, Egypt, and Belgium independent, new (liberal, upsurper) monarchs on the thrones of France, Spain, and Portugal, Britain gave up her continual holding in Hanover.
Arguably the only places in Western Europe where the old conservative order held together were those within Austria's sphere of influence; the Italian and German states, and Switzerland. And of course Russia. But in all those places we did see strong, and continuing, uprisings and rebellions. The new liberal wave was pretty unstoppable at that point.
So I'd have to agree with Alternate History (
highly unoriginal name BTW) in general; while Louis Philippe's France and Ferdinand's Austria certainly weren't going to be going to war anytime soon, the relationship between the two of them could accurately be described as cool.