It is my understanding too that benzos, like Valium; Ambien (which is actually a hypnotic and in the benzo family); clonazapam; etc. have negligible if any adverse affects on the liver. I've had to take benzos for several years, and I had my first liver biopsy in June. I have 0 fibrosis, and mild inflammation. So, I wouldn't worry unduly about any danger taking Valium to yourliver if you need it for medicinal purposes. The dangerous drug to worry about, of course, is alcohol.
My understanding is that 'benzos' and 'pseudobenzos' like Valium and Ambien have relatively little impact on the liver.