If a police officer files a false report, be it the weather or road conditions (and yet states that he has video evidence), is there any way that the report is deemed false and as such gets the conviction thrown out of court?
A report usually isn't false on its face in an infraction hearing - a legal determination must be made first as to the admissibility of a report, and then whether the statements within the report are admissible. If an officer's statements are admissible because those statements are allowed by the rules of evidence and applicable statutes, then a judge is allowed to 'weigh' the evidence. A defendant can always challenge even admitted evidence and explain to a judge that the defendant thinks those statements are false.
However, if you believe an officer is lying under oath or filing a false statement, then a decision on charges for those issues would lie with the appropriate prosecuting authority, not with a judge.
As for video evidence, you can always request a copy of any video evidence that will be used against you.