<<Knowing those facts, you still claim that "Any US Battleship could have taken the Bismarck"? >>
Yes. The crew being tired has nothing to do with accuracy. It doesn't take effort to aim.
And about having a battle vs. destroyers "all night":
"2238. Sighted by Polish destroyer Piorun.
2242. Opens fire against Piorun.
2325. Bismarck reports to Group West: "Am surrounded by Renown and light forces."
2357. Bismarck reports: "To the Führer of the German Reich, Adolf Hitler: We shall fight to the last man with confidence in you, my Führer, and with rock-solid trust in Germany's victory!"
27 May 1941 (Tuesday):
0217. Bismarck reports to Supreme Commander of the Navy (Grossadmiral Raeder): "Submitting application for awarding the Knight?s Cross to Korvettenkapitän Schneider for the sinking of Hood!"
0500. Bismarck reports to Group West: "50% overcast, ceiling 600 meters. [Wind] from NW at force 7."
0625. Bismarck reports to Group West: "Situation unchanged, wind force 8 to 9."
0710. Last report from Bismarck to Group West: "Send U-boat for safe-keeping of war diary!"
0844. Sighted by King George V and Rodney. Speed seven knots. "
Doesn't sound like and all-night battle to me. And you don't think the British crews were at battle stations most of the night, too?
The crew being tired had nothing to do with it.
Not being able to manuever was definitely most of the problem.
Bottom line, one on one, Bismarck most likely would have beaten King George V. Rodney would have been much tougher. The hits from Rodney are what knocked out Bismarck's turrets. They probably could have held up being hit by 14" shells from KGV.
That's why I give the nod to the American ships. The Bismarck's armor was a bit better then the NC class, not as good as the South Dakota and Iowa classes. That fact is not arguable. It is simple mathematics. American fire control was better, due to advanced radar technology, even at the time of the Bismarck's demise. That would have been a huge advantage, much more so than armor.
Bismarck's guns were probably better at short ranges, which is what they were designed for, and this is also what Bismarck's armor was designed for.
That same advantage was a huge disadvantage at longer ranges, which is what the US ships were designed for. Bismarck's armor would easily be defeated by 16" shells from long range. Short range, too, just not as badly.
Now in a real battle, anything could happen. A lucky hit early on could tilt the scales in favor of most any inferior battleship.
Odds are, however, against that. Not that is COULDN'T happen, but was much less likely.
I still would have liked to have seen many of the possible match-ups for real.
<<Bismarck was fighting against two battleships and two battlecruisers >>
No. Rodney and KGV at first, others joined after the main turrets were silenced. I agree that the British had overwhelming force, and would've beaten the Bismarck even if it wasn't damaged, just would have taken longer.