Starman I think you're giving far too much credit to the IJN at this point. With the USN reading their mail and having pretty much dominance of the air where they chose to deploy their carriers, with lots of recon and the like. You seem to think that the IJN will just skip up to the landing ships (the empty landing ships) somehow whilst not being spotted at all. Or if they are, brush aside the USN screen and oldendorfs forces with ease before sinking everything in the region. And then skip out again with little more than a fare-thee-well.
Against oldendorfs ships unless the IJN keeps both Yamato and Musashi in fighting trim, the old BB's actually outgun them.
USN Forces
2 x Colorado class battleships - Equal to the Nagato, well protected too.
4 x 12 x 14-inch gunned Standards
4 x CA 3 with 9 x 8-inch guns, one with 8 x 8-inch guns
4 x Cleaveland class CLs with 12 x 6-inch guns
28 x DD
IJN forces (assuming no losses beforehand which is basically impossible but here we are)
Yamato and Musashi - both exceptionally potent combattants but not super-godship invincible.
Nagato - Roughly equal to a 16-inch gunned Colorado class BB (faster, weaker protection).
Kongo and Haruna - 8 x 14-inch gunned battlecruisers who are very vulnerable to 14-inch and 16-inch shells.
10 x CA with 8-inch guns
15 x DD
The USN BB's are all pretty uniform, being evolutions of one another (they were called the Standards for a very good reason) and all are uniformly well protected and have up to date fire control systems and radars, as well as extensive gunnery practice. The IJN lacked the USN's gunnery systems and had suffered a noticable decay in the quality of their gunnery training from the Guadacanal standards at the start of the Pacific portion of the War. Whilst the USN battle line is slower giving up 4 knots to the IJN one, their ships are superior to basically all but two of them. And have better fire control, radar and gunners than ALL of them.
If you was in a Kongo you will know your 8-inch belt WILL be penetrated by a 14-inch shell and these ships simply can't go into a slugging match with a Standard type ship. The Colorado's are equal to the Nagato's and their 16-inch shells can still hurt a Yamato type ship. Same as the 14-inch guns who could help mission kill the IJN mega-ships (please don't believe everything you see on Discovery). And if you go "Okay preserve the Kongo's let them do their job of going after the cruisers." grats, you've just turned a 5 v 6 fight into a 3 v 6 and even a Yamato will not like being slapped again and again by 14 and 16-inch shells if you don't have the Kongo's taking part in the battle line.
And assuming that the USN sinks the Musashi on the way in then its now a 2 vs 6 fight.
The cruisers are a bit of a toss up, the IJN cruisers are all very good but they never had a great success rate with long lances and those torps didn't take well to getting hit. Also the USN's CL's are all VERY good, by any standard they are heavy cruisers, if but for their gun caliber with them having heavier protection than the IJN CAs and a large 6-inch gun battery.
The USN also has nearly double the DD strength and these are not 4-stackers but Fletchers up the yazoo which are easily equal to IJN DDs. And this isn't counting any of the 80 odd DDs and DE's that were shielding the landing zone getting involved. If they come along en-mass then the IJN ships will simply be swamped with a torpedo attack on the scale not seen since Jutland.
If by some Kame induced miracle the IJN gets close to the landing ships, then they are not going home, simple as.
You're also misjudging the USA's view towards the Japanese on a scale like Imperial Japan did. Cause enough casualties and they will suddenly go "PEACE!". No, the US wanted to see Imperial Japan torn down, thrown into a muddy puddle and then kicked in the ribs and teeth until it stopped being funny. Even if an absolute disaster took place where somehow ALL of Oldendorfs ships were sunk for minimal losses by the IJN (basically impossible) then it would result in heads rolling at the navy, but the US is not going to suddenly get weak at the knees and ask for peace.
You're also massively imitating the IJNs way of thinking "We'll do the thing and the US will most CERTINALLY do this and this and conform EXACTLY to our plans!" IE wishful thinking, which the IJN did all through the war. They always did plans and then expected the USN to conform to how they thought their plans would play out and how they wargamed.