Oh my goodness! That's a lot of call for the day shift to take.
I work in a L1 trauma center, so we staff evenings, nights and 4 teams on the weekends. Our shifts are as follows:
Evening shift (defined as 0900 or later) is not required to take call.
We have specialty teams that take call, such as hearts, vascular, eyes,etc.
Because we are a L1TC, only emergent cases are posted on weekends, although we are required to do any case if the surgeon declares it an emergency.
Just to make sure I am understanding you correctly, I'll sketch out a scenario. Tell me if I understand...
It's Monday, and you woke up at 0530. You go to work, do your cases. The time now is 1500. You are on call. Your case is expected to end around 1945, so you don't get relieved. There are complications in the case, and it goes on until 2300. You give report, change, and clock out at 2320. You drive 20 minutes home, and after you have prepped for bed, your head hits the pillow at 0030.
The alarm clock blares at 0530 on Tuesday. You are tired! But long ago you made friends with Starbucks, and you are ready to face your shift. You are in a bilateral knee replacement, and the case runs over until 1800. You call report, get your pt OTD, and finish charting. You clean up supplies left in your room, and go change. You clock out at 1900. You get home around 1920, make dinner, relax, and then your phone rings. You get called in to do a lap appy. You don't leave work until midnight, because the nurse who was supposed to take 2300-0700 call called out sick. You end up getting home (again) at 0025.
Wednesday rolls around, and you just want to throw the alarm clock across the room, but you don't have the strength. You work your shift, and cases finish on time. You go home at 1530. You are exhausted, and can't keep your eyes open after you have eaten dinner. You crash at 2030.
Thursday...ahhh...nobody called you in! But there is a bug going around and several people called out. Thursday is a heavy elective day, and you hit the ground running. You end up staying until 2300. You go home, exhausted, but really mad that you have to face another day of this call nonsense.
Friday morning, you are in a daze. You are completely sleep deprived, haven't had one second of downtime, and you have several emergency cases rolling in. You get through the day and only have to stay until 2030.
You sleep in late on Saturday, but your phone wakes you up at 0930. "We have a total joint replacement today, so come on in!" your manager/charge nurse sings (which totally grates your nerves). During the procedure, the surgeon hits the popliteal artery, and vascular is called in to help out. You don't get out of there until 2000.
This is RIDICULOUS. No one should be expected to keep this kind of schedule. Well...except for surgical residents. However, they are expected to report duty hours, and they cannot exceed a certain amount of hours per week.
Ask your NM if s/he can hire some evening staff. Do some research about mistakes made as the result of sleep deprivation to support your case.