judges with hearts of stone and balls to match：

整个with 介词短语，作judges （法官）的定语。and 连接两个并列的定语。意思是说，and 之后省略了with。实际上是两个并列的with 短语作定语：

judges with hearts of stone and with balls to match

with hearts of stone：有铁石心肠的

with balls to match：满口胡言乱弹琴

balls（复数）是英语“俚语”，意为“胡说八道”：You can say 'balls' or say that what someone says is balls when you think that it is stupid or wrong.It is used as a swear word when you are disagreeing with sth, or when you are angry about sth.

match：胡乱搭配；乱用；乱弹琴。