Looks like a Carter YF carb to me. That would mean you have the 4 cylinder engine correct? Hard to tell in the close ups.
I'm thinking fuel starvation at this point, so a couple of things come to mind to check or repair.
You could have a plugged filter. I would start there. Change it out.
If that doesn't fix the problem, I would suspect the idle passages are plugged. This means a carb cleaning or rebuild. About $30 in parts if you do it yourself.
Another thing could be the EGR not working. They do get stuck occasionaly, and need cleaned.
Finally, the fuel pump might be weak. This could be due to it sucking air because of the cracked lines. I'd replace them and take the guesswork out.
Oh, and make sure there are no vacuum leaks.
79 CJ7 "CJ Express" 4.2L, NV4500, D44 rear
69 800 with SBC, SM465, NP205, 14BT