First, yes, they are conflicting. Your second source states that they are
not admissible in Florida courts. This is summarily untrue. Per
State v. Thompkins, 891 So. 2d 1151, the court may allow polygraph evidence based on the outcome of a Frye hearing and if both parties agree to its use. This is reflected in at least one of your other sources, meaning that there is an overt contradiction.
Secondly, you are the one that claimed polygraph tests are not admissible in court, not me:
(Emphasis mine)
The onus was on you to prove this assertion, since you stated it. I am quite aware of polygraph law, thank you. I didn't know if you had some other source that contradicted my knowledge of the subject. Polygraph evidence is admissible in the State of Florida under certain circumstances. This is reflected in
State v. Thompkins, and
Davis v. State. Various federal courts have left it up to the states to decide, and the Supreme Court has not prohibited polygraph evidence from being submitted.
Should the case be tried federally, polygraph evidence would be admissible pending the trial judge's decision. Should the case be tried in Florida, polygraph evidence would be admissible under certain conditions. It's never just plain not allowed.