Will a high bilirubin count affect a alcohol breathalyzer test?

No, the breathalyzer measures alcohol in the blood that is excreted through the lung.
The bilirubin is due to a liver malfunction and cannot be related to alcohol at all.
There are many causes of a high bilirubin including hepatitis, cancer, blood diseases,
gall bladder disease, I you have a high bilirubin, see you doctor.