After reading an article on Maria Montessori in a 2022 edition of The Broken Wheel (starting on p.31), a periodical publication supervised by Fr MacDonald (attached), I wouldn't recommend anything that comes from her. Here is the conclusion of that article:
Thanks. Yes, I've read before about some of her problematic ideas. I certainly wouldn't be recommending her for theological direction. But, I'm not the sort to need something or someone to be 100% perfect to garner some valuable information from it. I think anyone here should be able to survive a paging-through of The Montessori Method. But, it's probably not a good fit for what the OP is looking for as it doesn't point toward home education as the solution to failing public schools.
Gatto is a homeschooling advocate, but I think he takes it a step further and promotes "unschooling" -- not 100% sure. I also don't believe he addresses religious concerns at all.
More homeschool-specific books that come to mind are Educating the WholeHearted Child by Sally Clarkson or The Well-Trained Mind by Susan Wise Bauer.
I'm interested to see if anyone knows of book that is a complete argument for Catholic homeschooling.