Awww OP, I really feel for you.
If it's any help, my oldest was exactly like this. A really vocal (crying a lot!) baby that never slept.
He is 13 now and honestly the most wonderful human you could wish to meet (except his brother who is also fantastic!! Not that I'm bias!)
It DOES get easier. It really does.
Try and stay calm. If you absolutely feel yourself boiling up with frustration at the crying, put baby down is his cot safely and take yourself off to another room to calm down, breathe...
What used to help me in those early baby days was putting DS in the car seat and going for a drive. I used to feel free as he was in the back and i could almost forget he was there! The car was the one place he was relatively quiet and sometimes even slept! I'd just drive around for a bit.
It's so so hard, but it really will get better.
My DS1 was very intense as a baby and in all honesty, he continued to be a fairly intense toddler, pre-schooler and primary schooler. He was a chatterbox, intense emotions, never slept and was high energy from day 1. Once old enough (toddler) we found lots of sports (swimming, toddler football, visits to the park etc..) really helped and as a result he became a pretty good competitive swimmer primary school age.
Now age 13 he is quite placid! Quiet, thoughtful, gentle and really easy! He's been a delight to watch growing up!
Your baby will eventually stop crying! He will eventually settle, he will one day sleep, and when he's secondary school age you will look back on this time as a distant memory.
Try and enjoy the small moments - his cuddles and his gorgeous newborn smell, little tiny hands, and how cute he looks while he sleeps (when he does!) x
I promise you, it gets easier