That's the problem, it is not, it is the reality of dealing with animals. The only way to completely remove this type of problem is to process the produce to a point where it loses its original identity. "Whey protein" does not have this problem, but it not milk. Swiss cheese lost it's holes after it was overly clean, and they had to artificially add contaminants to regain the characteristics.
My mother was raised in a farm, she had to clean pigs guts to make sausage, she clean it in well water, the idea that you would no be eating small particles of cooked shit was laughable. 

 There are human meat regulations, Alex.

Just eat the Hebrew National.