Short answer: you’re doing it right as long as you’re happy with the way you’re doing it.
Longer answer: you already have experience learning a language, which is great! A lot of the hurdles that many students of Japanese face, like figuring out how the hell to learn a language in the first place, will not be an issue for you. That’s the good news.
The bad news is that learning Japanese is pretty different to learning a Romance language, for an English speaker. Trust me, I’ve been in the same situation—I learned Spanish 9-ish years ago now, and have been seriously learning Japanese since last year. The main difference is that similarities between English and Japanese just…aren’t there. Aside from some modern English vocabulary that has been borrowed into Japanese, the two languages have nothing to do with each other. This is as compared with Italian (or any European language, really), which has had 2,000+ years of mutual contact and influence with English, not to mention a shared cultural context and history.
I’ve sometimes said that learning a Romance language felt like learning to say things in a different way," whereas Japanese feels like learning to speak all over again. The most basic grammar patterns, like “this is an X,” “I am doing X with Y”, “I want to do X,” “A is more X than B”, etc, etc, all function totally differently in Japanese than in English, and have to be relearned essentially from scratch. When at the beginning stages of studying a Romance language you can often just translate literally, and even if the result isn’t totally correct, it will most of the time make sense. You can’t do that with Japanese. Literal translation just doesn’t exist.
However, this is part of what makes learning Japanese fun!
You will likely find it harder than Italian—but not impossibly hard, don’t let anyone tell you otherwise. The main difference I’ve found learning Japanese is that it requires a much greater activation energy than a comparably easier language. That is to say, the amount of effort required to get to the basic level where you can actually use the language in a meaningful way is higher. If you can get past this, it essentially has the same long tail as learning any language: acquiring lots and lots of new vocabulary and practice, practice, practice.
As for more specific learning advice, how did you learn Italian? A lot will depend on your own preferred way of learning languages. The one thing I would say is don’t expect to learn kanji before advancing to anything else. It will take you so long to learn “all” the kanji that you’ll want to also start on other things in the meantime.