For a criminal case, yes, they need to prove "beyond a reasonable doubt" - which would require that you are positively identified as the driver.
For a civil case, they only need to prove by a "preponderance of the evidence" - which is a much lower standard.
This is why tickets from red-light cameras in many states are zero-point citations. You're still charged a fine, but there's no finding of guilt attached to the offense, which keeps it away from being considered a criminal matter. (This is the same way parking tickets work.)
I'm in Canada and they issue you a fine without any ID. It goes straight to the registered car owner. Simple as.
The issue is that currently in FL there are points / demerits issued for violations, and these can cause the loss of a license, increases to insurance, etc. This is not a problem if an officer can ID you directly.
I don't know what happens if the other person denies it though.