I also want to add to this. I've know a few parents that have really struggled in the first 6 months (or more).
My husband referred to the first 6 months with both our kids as tamagotchi mode because they're basically drink, sleep, poo, repeat. You're probably also exhausted and on one of the biggest learning curves of your life. Somewhere around 6 months they learn to smile though and they start getting a bit more motor control and can sit up a bit better and can start exploring the world around them a bit more. Hopefully at some point they'll also start sleeping a bit better, which also helps.
As another thought, if baby is crying a lot have you checked whether s/he has any issues like reflux / colic / dietary issues that are causing that? If breastfeeding does it get worse when your wife eats certain foods, if formula feeding does baby need a different milk?