"The Jedi allow a blockade and an attempt on Padme's life to escalate into a full scale war."
Uhm, this was a senate decision, hence the reason for Padme talking to the SENATE.
"The Trade Federation's blockade was legal, their invasion was not."
[Palpatine] "I will make it legal" [/Palpatine]
"However, could it not be said that the Jedi's involvement caused Palp to order the invasion on the planet below?"
Are you saying he wouldn't have invaded on his own? Would you explain how the Jedi's appearance forced Palps to do this?
"Qui Gon goes into the negotiations with a large enough ego to believe the negotations would be short."
Because the Neimodians are weak-willed. Qui-gon thought they were behind this. Again, you fault the Jedi for acting in the face of information that they did not have, but you did. Does anybody know everything about every decision they make? No one is perfect in these films or in real life, yet you blame them for being human.
"Like I said, maybe she just doesn't want to admit it."
This is more an aspect of your own thinking, rather than the direction that the film is clearly going in. Don't blame Lucas for this.