His doc wants him to keep taking it because stroke is often fatal or debilitating, while hematuria is rarely if ever fatal or debilitating. His current "solution" is a really bad idea. He's trading high risk for low risk. Bad trade.
I can't say what treatment course would be typical because every patient's circumstances are different, but clearly he needs to see a doctor experienced in anticoagulation management. Is he just seeing his PCP? If so, that's the wrong doctor to see.