I posted my previous reply in haste and it shows. I was heading out the door to the office.
I maintain that the invasions of Japan would have failed. Let me be more verbose.
Up until this point, the Americans had the advantage of mobility. The Island Campaign showed the American could avoid Japanese strong-points, letting them sit in isolation This held American (and perhaps Japanese) casualties down. But upon reaching the Home Islands, this advantage failed. Now we had to play the Japanese’ game in their home court.
The Japanese had a strategy to avoid unconditional surrender. It was the model taught to them by the Chinese. It was the model the learned in the Island Campaign. They intended to prolong the fight and inflict unacceptable losses on the Americans. The American plan was more vague. Invade Kyushu (OLYMPIC) in November 1945 in order to gain bases needed for the invasion of Honshu (CORONET) in March 1946. The goal of the invasion of the Tokyo Plain was to take the capital and then something, something, something.
OLYMPIC would have been about four times the size of the invasion of Okinawa. That battle took 100 days and cost (the Americans) 13,000 killed and 37,000 injured for a round number of 50,000 casualties. (Note about a quarter of casualties are killed, or the number of casualties are three times the number killed.) Roughly we can say the OLYMPIC attack would have killed and hurt 200,000 Americans, four times the butcher’s bill on Okinawa.
That is the best-case scenario. On Okinawa we had a numerical advantage. It was a small island and we basically had to kill most every Japanese soldier on it. At Kyushu the Japanese had as many defenders as we had attackers. These defenders were dug in, but once the land battle started they could be expected to attack the American forces for many months.
The Japanese Navy had gone away except for some small boats and 100 submarines. The Japanese Army had just about unlimited people. Less understood is that the Japanese Army and Naval Air Forces (they were working very well together) also had baskets of airplanes. Production of suicide aircraft did not end until the war did. Training of pilots continued. Aircraft and crews returned from China every day. American intelligence missed this at Okinawa, estimates were of 90 aircraft on Formosa, really there were 700. For Olympic the number of aircraft available would have been overwhelming.
They adopted a new strategy for OLYMPIC. Rather than going for the warships as they had previously, now their main targets were troopships. At Okinawa 36 US ships were sunk about 400 were damaged. If we multiply by four we get 140 sunk and 1,600 damaged. That would, I suppose be something like a Japanese victory. I admit those numbers seem high. Cut them in half. It still looks like a Japanese win.
The Japanese hoped to kill 20% of the landing force while they were still at sea. Just 10% would have been about 76,000 killed. That also looks like a Japanese win. Remember Okinawa was considered very bloody and it cost only 50,000 casualties (dead + injured). Just landing the landing force might have been an Okinawa all by itself.
All of the above ignores the atomic weapons. OK, let us include them. Marshall famously observed the impact of the atomic bombs was mostly physiological. It gave those who wanted to surrender an excuse to do so. Of course a large faction wanted to fight on anyway. What if they did?
After Hiroshima and Nagasaki in August the Americans would have horded their bombs, saving them for a November OLYMPIC. I have seen numbers that indicate they might have had six. Two for each of the landing zones. Had they been used on the defenders, the landings themselves would have been easier. (Of course nobody knew much about the effects of radiation.) But such attacks would not have bothered the better, more mobile units in holes further inland.
You indicate a belief that the Navy had solved the kamikaze problem. I see no indication of this. Fighter aircraft from Okinawa would have provided a heavy cover, but I suspect they still would have gotten through. I am eager to be educated on this. The kamikazes were first-generation cruise missiles and they still give sailors nightmares. While the US had gotten better in the months since Okinawa, so had the Japanese.
OK, there is a more complete discussion I ought to have posted this morning. I was limited by my need to go to work. Now I am heading off to dinner. I hope I was clearer with this note.