So killing children is okay just so long as you kill a bad guy too?
I don't think people think that way.
I didn't say it was okay. I said Anakin had reasons to feel anger for Tuskens.
Imperial General laughing at Vader's "sad devotion to that ancient religion" - Does this seem like something you would say if only 20 years previous the Jedi had a huge temple on Coruscant with hundreds of Jedi, each of which was fighting in the armies?
In the light of what we saw in Episode III, the world "ancient" could've been used sarcastically, to diminish significance of the Force. "Ancient" means here something we regard obsolete, worse, what we despise. Remember all these officers have been brainwashed by propaganda for the past twenty years. Not every quotation from OT must be took literally.
The empire made up by clones even though all the bridge officers are obviously regular dudes.
What's so strange in that? The Empire has no clones in OT. Stormtroopers are not clones. Among officers non-clones were present even during the Clone Wars - eg. Admiral Yularen and Captain Tarkin. Clones have been in Empire's regular service only for a short time after Jedi Purge as Kaminoans began to resist.
Leia saying "years ago you served my father in the clone wars". Did Obi Wan fight for the Alderan guy? Don't think so. He's just a senator. The Jedi were all military leaders in the PT.
I never thought "My father" refers to Bail Organa. I guess Organa told her that she is adopted, her father fought in the Clone Wars and he also mentioned Obi-wan - that's why Leia tries to call Obi-wan for help in the first place.
The idea of Jedi vs Sith when the OT only talks about Dark vs Light.
What's the problem with that? In OT Luke discovers only snippets of knowledge about the Force Jedi had in PT. It's simply forgotten as there are almost no old Jedi left.
What I love about PT is how they presented the Force and how it affects the entire galaxy.
Obi Wan saying Uncle Owen was against Anakin following OW on some "damned fool crusade". Did Owen even know Anakin? He met the guy for like 5 hours. Obi Wan talks as though they grew up together. Aunt Beru talks the same way as well "too much of his father in him", this suggests knowing his spirit. You don't know a guy from meeting him for a couple hours.
They saw him rushing to save his mother, then returning with her body, then crying on her tomb. Enough to know he is impulsive and emotional.
Furthermore does the conflict in the PT mirror a Crusade? Bearing in mind that the Crusades were expeditions to liberate the holy land. Not the defense of a political state.
How can I even comment that? It's just a term. It's origins can be totally different as we are in alternate universe.
Obi Wan saying that his father was already a great pilot when he met him. This is wrong for many reasons. First of which, Obi Wan didn't meet Anakin. Anakin wasn't a pilot, he was a pod racer. Obi Wan doesn't mention he was a 10 year old boy, something that he realistically should have said. This dialogue is more applicable to Finn meeting Po for example. Is Anakin even a great pilot during the show? Honesty Han Solo arguably does more interesting things than Anakin ever does.
He had a natural talent for flying and technology. He quickly adapted to new situations involving driving air or space ships. Apart from the pod race, he was thrown into the middle of space battle in a fighter he never flied and we has able to survive, regain control, penetrate the station's defences and destroy it from inside. In EII he manoeuvrers among the numerous shuttles on Coruscant, in EIII takes part in a huge space battle. Is that not enough?
Obi Wan saying he took it upon himself to train Anakin. Horse**** he did, he trained him because Qui Gon asked him to. Would a guy not mention this?
Maybe, maybe not. "What-if" is not a proper argument in a discussion.
Well, following your argumentation, R2-D2 could have told Luke that Vader is his father

.
Obi Wan saying that Anakin helped hunt down the Jedi. No he didn't. The Jedi all got killed by stormtroopers. Assaulting a temple is not "hunting down".
What? Did you even watched/read/played anything between EIII and EIV? Anakin was leading the clone assault on the temple, himself killed a bunch of younglings and probably some Jedi too. Then, as Vader, he was hunting Jedi for many years. It'd be strange if PT showed events that took place after PT

. But the other SW-universe productions mention that. Ever played The Force Unleashed?
Palpatine calling the Lightsaber a Jedi weapon. Yet he uses one in the PT. Is he a Jedi? No. So why is he using a Jedi weapon?
Agreed, this one could be a mismatch. I assume he called THIS (green) lightsaber a Jedi weapon. Sith all have red.
EDIT: Vader also uses a lightsaber in OT. If it's a mismatch, it is a OT mismatch in the first place.
Even the idea of Obi Wan calling Luke's father a "good friend" is a stretch. They goof around in the movies but they don't act much like friends and they complain about each other constantly.
This one defends itself. Fact they're arguing doesn't imply after all these years Obi-wan cannot mention good moments with Anakin. Besides, in EIII Anakin is a knight, not a padawan, he's almost equal to Obi-wan, he only has not master title. At some point Obi-wan tells Anakin "You became a greater Jedi than I ever thought".
Now most fans would say "If you think about it from this obscure angle, it kinda sorta makes sense". No it doesn't.
I can only laugh at how OT fans will find and complain on even the most insignificant mismatches in PT, but are absolutely tolerant on OT.