She's thriving and looking out for herself," a source tells PEOPLE of the singer Miley Cyrus is staying out of the recent drama surrounding her famous family. A source tells PEOPLE exclusively that the singer,

"You should be ashamed of yourself," Trace wrote publicly on Saturday, two days after saying he's "genuinely worried" about the country star's well-being.

Miley Cyrus' older brother has claimed that his father, Billy Ray Cyrus, has threatened to take legal action against him. Trace Cyrus, best known for being the guitarist of Metro Station, has taken to social media to share his concern for his dad.