Sleep

Is any one else all fucked up as far as sleep goes. I'm up all night to any where from 4-5am then can't wake up to be productive till around 1:30pm. I only get up to take care of the baby. He's up wide awake all night which I feel horrible about because it's the middle of the night we can't be playing and doing tummy time etc. I feel like I'm missing out on doing really important things with him because I'm on his schedule. But every thing I read says to be on my newborns schedule and let him call the shots. But how is he ever going to get Day and night time right if we can't do anything during the day?!? I'm a FTM and idk what to do and it's all very frustrating