You don't have access to a character's innermost thoughts, Prodigal. You don't know that they weren't expecting Count Dooku to use the Force. There are some things that people can take into consideration, but just not be prepared for. You can't sit here and tell me "oh, they thought he was going to do THIS instead of THIS", because you do not know.It is highly possible that he just overpowered them, as his mastery of the Force is greater than Anakin's or Obi-Wan's at this point in the juncture.
Maybe so, Escape. However, we have take in all considerations. We know Obi-Wan is powerful and even Windu considered his Soresu as splendid. Yoda was already impressed by him in AOTC, and should be definately proud of him in ROTS. I highly doubt that Dooku can just go there and curbstomb Kenobi.
It's very likely possible that Anakin and Obi-Wan believed that Dooku was playing around with them and that they knew his arrogance would make not likely go serious on them. But they were taken aback when he suddenly does the masterful Kick-Choke-Throw Manuever. It just doesn't quite make sense for me that he's just so much better than Obi-Wan is able to destroy him in ROTS without an explanation.
The two did fight, and Obi-Wan's intellect didn't save him from Count Dooku's vastly superior Force powers. And, Obi-Wan is not capable of performing Force lightning or choke.Sorry. In a Force fight, Obi-Wan is owned. Curbstomped.
In a lightsaber fight? Obi-Wan's defense will provide some trouble, but Dooku will still win in the end.
In an all out fight? Think of RotS but faster when there's no pesky Anakin to deal with.
Yes, but in AOTC, Obi-Wan was able to counter Dooku's Lightning. And Dooku uses Lightning before a duel to weaken the opponent (AOTC). This won't work at all against ROTS Kenobi.
But Obi-Wan is capable of bring down a ton of metal without any effort and if able to Throw an eight-foot droid about fifty feet into the air and a hundred feet away.
Dooku is equal to Kenobi (if not slightly better) and his other advantage is his Choke. This is a deadly weapon. However, I doubt Obi-Wan gets owned in the Force Fight. Just comfortably defeated.