Are lawyers judges sufficient informed about all the false prophesies the misleading and falsifying scientific and medical information the complete unknowing from all this by the watchtower followers?

It is not the role of a Judge, or opposition lawyer, to know these things. Those things are presented under the rules of evidence IF they apply to the case and in measure of how they inform the court of those beliefs and its effect on the issues. For instance:
If you have a Jehovah Witness follower involved in a court case where he failed to pay his house mortgage, foreclosure, then the court would most likely not allow introduction of his religious beliefs unless it can be shown that it was based on these beliefs that he did not pay the mortgage; but it would be probative at best (it would not mean a lot to the court). If this same Jehovah Witness refused entry into his business establishment because the person was "Gay" and it is against this religion, then the information could be introduced and would be relevant to the case as it is a form of discrimination.
It is not the role of a Judge, or opposition lawyer, to know these things. Those things are presented under the rules of evidence IF they apply to the case and in measure of how they inform the court of those beliefs and its effect on the issues. For instance:
If you have a Jehovah Witness follower involved in a court case where he failed to pay his house mortgage, foreclosure, then the court would most likely not allow introduction of his religious beliefs unless it can be shown that it was based on these beliefs that he did not pay the mortgage; but it would be probative at best (it would not mean a lot to the court). If this same Jehovah Witness refused entry into his business establishment because the person was "Gay" and it is against this religion, then the information could be introduced and would be relevant to the case as it is a form of discrimination.