Hi.. just wanted to give my opinion because I have an 11mo old who has been waking up several times per night, still feeding about a month ago. I know EXACTLY how you feel about being sleep deprived. I think mine is teething now (no teeth yet) and I was up for 3-hours last night!
But on a positive note, I was going to share with you how I weaned him off night feeding. Up until 8mo I was BF him at night, basically using it as a prop for him to go back to sleep. I transitioned to bottle-feeding and he would take around 4oz or less 2x's per night. Sometimes he wouldn't go right back to sleep and that's when I knew I need to stop feeding him and get him sleeping.
About 1mo ago, I began diluting his bottle.
Night 1-3: 1oz water, 3oz formula
4-6: 2oz water, 2oz formula
7-9:3oz water, 1oz formula
He transitioned very well and at the same time I did PU/PD if he was having trouble going right back to sleep. The first night without any formula, we were up 3 hours, but I didn't give in. And, the next night, he slept from 8pm-6:30am. Yeah!! He hasn't developed a strong pattern of sleeping through the night, but no more feeding at night, he doesn't even want it. I usually give him water, bc he may be thirsty. And, he is drinking more during the day. I upped his 5-7oz during the day, because he was no longer getting them at night. They just need help realizing that they should be consuming their calories during the day, not at night. Right now, your LO is getting some at night, which you could replace during the day.
I know mine is a little different bc I was using a bottle. Don't know if that is an option for you or not!
Goodluck!