You state yourself obviously individual Jedi have limits. Because they have these limits, there is no reason to assume they are stupid. Given the difference between what you claim the Force should be able to do and what they actually do with it, it makes much more sense to chalk that difference up to their individual power limits than it does to their stupidity. Since it is obvious from the films that Jedi have limits, the writing did not imply the Jedi had unlimited power.
You keep going off track. I never claimed that the writing implied that the Jedi had unlimited power. The writing specifically claimed that Yoda could move any object, regardless of size, with telekinesis. That's not even remotely the same as saying that the Jedi in general had unlimited power in general, because Yoda does not = Jedi in general, and the ability to move any object, regardless of size, with telekinesis does not = unlimited power in general.
Even if we assume the Force is a source for unlimited telekinetic power, knowing that Jedi have a limited ability to access this answers the questions about why they don't do certain thing much easier than assuming they're all dumb. I know my toaster is attached to a power grid that powers most of the San Juoaquin Valley, and yet I don't think my toaster is stupid because it doesn't heat my entire house. I understand it's obvious limits.
See above. We're talking about Yoda here with regard to the ability to move any object, regardless of size, with telekinesis. When I have discussed other Jedi, it has been with regard to their inconsistencies in other areas.
Yoda made a claim and then lifted a ship. He did not demonstrate the ability to use unlimited telekinetic power. At no point did he back up the claim "Size matters not" with quantifiable evidence of unlimited power. That he had unlimited telekinesis is an extraordinary claim, and I don't see any extraordinary proof in the films.
Extraordinary claim relative to what? This is a fictional universe defined by the writer. The idea that extraordinary claims require extraordinary evidence, applies to the real world, not to fictional worlds. A writer can make any claim he wants to; as he is the creator of that fictional universe. However, when there are inconsistencies, you may end up with plot holes, or at the least, characters which come across as stupid.
And in the context of the scene, his lifting of the ship was evidence of Yoda's claim, since lifting the ship was the task at hand, the task which Luke suggested was too difficult because of the size of the ship. He could have said something more vague to Luke, like, "You underestimate the power of the force," but he didn't. He made a very specific claim, i.e., "Size matters not." Words mean things.
Let us assume, given the single most impressive feat of telekinisis evident in the films- Yoda stopping the metal thing Dooku dropped on Obi and Anakin. That effort made it impossible for Yoda to stop a fleeing Dooku, and apparently took a great deal of concentration and perhaps some physical strain judging from his expression. Is that the upper limit of the most powerful Jedi in the films? It's possible. He certainly never does anything like crush the Death Star. Non-existence of evidence is not evidence of non-existence, but given Yoda's character, goals, and apparent wisdom, him not using this power if he had it seems unlikely.
The problem here is you are trying to rationalize everything, which means you've discounted the possibility of something far more simple to explain inconsistencies; i.e., bad writing.
Also, in this scene, Yoda wasn't simply dealing with the weight of the metal thing, but he had to counteract Dooku's use of the force (that stuff didn't break/fall due to natural causes). The same thing applies in ROTS when the emperor was throwing those senate seats (or whatever they were) at him.
As to why Yoda didn't throw whole droid armies around, perhaps theres a fundamental difference between lifting something with the Force and Force pushing things in combat. I don't know, I'm not a Jedi.
Or, a more obvious explanation is that the character was written with too much power which makes it next to impossible to invent dangerous situations which he could not easily overcome by using that power.
And that's still not begging the question. I never assumed the Jedi can't be morons, just that given a choice between all Jedi being morons, or beleiveing that the way you describe a Jedi's power being inaccurate, it seems more likely that your claim that Jedi should demonstrate unlimited telekinetic power is innacurate.
You're discounting the possibility of bad writing; i.e., you're assuming that the writing is fine (and that is the question); and using that assumption as your basis for trying to rationalize the inconsistencies; hence, you are begging the question.
This could have been fixed with some writing changes. For example, don't have Yoda claim that size doesn't matter if the writer actually intends for size to matter. Don't keep using the whole "dropping the light saber" thing as a plot device when it is already established that even rookie Jedi can will the things back into their hands at a moment's notice; etc. When you are writing super powered characters you need to give them certain limitations and be very creative with the dangerous situations that you construct for them. Otherwise, you end up with characters that look stupid.
This is just a point of discussion for me. I love the movies (the OOT in particular) regardless of their flaws.