I can tell you how many properties a person owns and who he borrowed the money from. You are saying an attorney has zero access to how many times another attorney filed a lawsuit and how many times that lawsuit was settled/dropped without a trial?
Of course there services with data bases containing court decisions, though those are primarily appellate court decisions, not trial court cases. If you access the trial court directly it may have a data base of its cases that you can search for trial court information. But what you won't find is a database in which someone has compiled statistics to try to assess attorney performance. One of the reasons for that is that the nature of law practice makes it difficult to develop meaningful objective statistics to do that.
Even case law is difficult to find sometimes if you are not an attorney who has paid for access to Lexis Nexis or some other paid for use search engine. Its out there, but you have to check many different sources to find it.
Do you realize how much work, cost and effort it would require to put all of the information you would want in an accessible database? That is why they are usually NOT free.