Here is what I mean when I say that you think the evidence is wrong (your own words) :
b) what little evidence there is that points to LHO is weak and circumstantial and all of it is questionable, arguable, impeachable, or tainted in some way
So please quit beating around the bush and explain yourself.
As far as I can tell, the only direct evidence that Oswald was in the 6th floor TSBD window at 12:30 with a rifle was testimony from Howard Brennan who initially failed to identify him in a police lineup (even after seeing Oswald's picture on television). A guy who claimed to see a gunman in position for the head shot (which necessarily would be crouching behind boxes) "from the belt up", and who gave a description that was the wrong weight, wrong age, wrong height, and wrong clothing description for it to be Oswald.
Circumstantial evidence
1. Frazier saw Oswald carrying a bag that was too short to have contained the alleged murder weapon, and a bag that Frazier said was not the same bag was allegedly found near the window the shots were allegedly fired from, but doesn't appear in any crime scene photographs.
2. The bag that was allegedly found (and showed no evidence of ever having contained a rifle) supposedly had two prints on it belonging to Oswald, but the testing process destroyed the prints.
3. Backyard photos exist that were allegedly taken 8 months earlier showing Oswald holding a rifle that may or may not be the rifle found on the sixth floor.
4. Marina peered in the end of a rolled up and tied blanket in the Paine's garage about 6 weeks earlier and saw a portion of what she took to be a rifle.
5. Oswald left work after the assassination, which some would like to think was a "consciousness of guilt", even though other employees were either dismissed or told not to re-enter the building.
6. Unscientific and biased handwriting "analysis" of 2 block letters on a photo of a microfilm copy (from microfilm that is now "missing") of a 2-inch order blank concluded that the handwriting on a Klein's order blank ordering a similar but not identical rifle was that of Oswald's.
7. That order blank showed an address of a PO box that Oswald had access to, but there is no record of such a Klein's package being mailed, delivered, picked up, or signed for by Oswald or anyone else.
8. Fibers that may or may not have come from the shirt Oswald was arrested in were found in the butt of the rifle allegedly found on the 6th floor.
9. After the FBI found no identifiable prints on the rifle allegedly found on the 6th floor, an index card showed up a week later with a partial palmprint identified as Oswald's and claimed to have been lifted from the rifle on the night of the assassination, but not turned over to the FBI with the other evidence or even mentioned to the FBI agent who received the evidence.
10. Oswald's prints were found on book boxes on the sixth floor, which is not that remarkable considering his job was getting books out of boxes.
Your turn. What evidence convinces you?