I can respond to the 'stuff in general' part of your question. I've read both his tropics (cancer & capricorn) and he modeled them after writing 'everything that's left out in books.' The tone moves from ribald, to vivid, pungently dreamy to frank & stale. He can be funny, particularly articulate or sullied in vulgar drippings. He’s an important writer in that he & William S. Burroughs helped slay the censorship of their time (thus opening the floodgates to being able to print just about anything on paper) & he also was important in deconstructing literature, which to me, also fulfills the ‘anything is possible’ prophecy. Tied down to meter, formulaic prose, plot, characterizations or any set expectations can be limiting to any writer, and the tropics obliterated expectations. There really isn’t any plot, character development, beginning or end. The style is that of a diary, an unimpeded, circumambient journey through an art form, through consciousness and through the sewer side of the urban, of the human.
I enjoy Miller and admire him immensely for these reasons. I also criticize him for these reasons. His strengths are also weakness, and he is certainly a ‘mood’ oriented experience, or a personality-specific expression at that. I can completely appreciate the critique that his rambling nothingness is devoid of substance, meat or focus…that his style makes some of the most attentive readers turn to Ritalin for a misdiagnosis of ADHD…etc. That said, his importance to the American word can’t be undervalued, and I’d also recommend reading him in fragments, his bits and pieces tend to be digested best in different moods, at different times and in different sequences. Once he gets rolling he can become infectious, almost like a fungus
With regards to Dostoevsky, he mentions him often in his works and his appreciation of him is obvious. The tropics were singular pieces and he didn’t seem to emulate him much in either, though I can say that he failed as a writer when he conformed to the conventional standard. Henry & June, a film about Henry Miller’s courtship w/ Anais Nin, had a scene where his wife reproached him for Tropic of Cancer w/ the smarting comment ‘I thought you were going to be the next Dostoevsky,’ so I can sure see his influence sneaking into other works….