"do you seriously expect these people to base their decisions solely on the information they are given?"
Yes, how is that even slightly difficult to comprehend? A judge rules on whether something is admissible in court, namely based on whether it is a legitimate piece of evidence. Someone being accused of something in the past is not a relevant piece of evidence and shouldn't be considered.
Lawyers from *both* sides put forward evidence. You're whinging as if only one side is put across and that jurors are being denied frivolous information. Juries are not "uninformed", they are informed of the pertinent pieces of information, not whatever they can find on Google or wikipedia. If past convictions or even accusations were even slightly relevant, we could save ourselves a whole lot of trouble and just wheel the same burglar into court for every breaking and entry charge.