It's because it actually does and did have the same Problems, but they were less felt and viewed as less of a Problem. A person from North Germany and one from far east or south will have trouble understanding one another if they speak dialect.

The political structures that emerged were fundamentally different though, Germany in both its modern form and its 1871 form is a Federal State (and in the German Empire the States even had their own armies), whilst Italy is not, and has never been. (A result of the two States formation history)

Italy was unified by Force by Garibaldi and the House of Savoy, in a manner of mixed coup and conquest, but significantly unlike Germany, which whilst having a war for hegemony, ultimately formed by consensus.

As such, the cultural polarisation of "these people are enforcing their will on us" - i.e. North Italy (remember the King was from the House of Savoia in the North) over South Italy was more significantly felt. Whereas in Germany, the regions were at least somewhat represented.