Is working at a radio station that broadcasts the Holy Quran alongside other programs that include music and singing, while confronting corrupt channels, considered impermissible, and what is the ruling on the earnings acquired from it?

May Allah reward you for broadcasting the Holy Quran Radio; it is a righteous deed. Regarding what you mentioned about sometimes being compelled to broadcast content that includes music and some musical segments, refrain from doing so as much as possible. Strive to reduce that objectionable content to the best of your ability. Do not abandon working at the station and broadcasting the Holy Quran Radio because of it. To clear your conscience, donate the equivalent of the salary portion corresponding to the programs that are forbidden by Sharia (definition).