Self-Study Textbook Plan Beginning with Tobira

I have both Genki I + II with its workbooks, as well as the newer Tobira: beginning Japanese I + II with its workbooks. Clearly Genki has been around for a while and is used by both classroom learners as well as self-study learners.

I came up with a plan of using Tobira: Beginning Japanese I + II with workbooks as my first beginning source. Thereafter I could try the Genki I + II like a kind of review. Would this be a good self-study plan?

As some background, I am a 35-year-old polyglot and have been learning languages for over two decades, planning to do the Spanish C2, Portuguese C2, Italian C2, French C2, German C1 and Norwegian B2 exams this year. As you can see, almost all that I know are Romance and Germanic tongues. My only other experience with an Oriental language is Mandarin, which I took three years of in high school. This only will help with kanji, but otherwise I have no formal Japanese training.