For all of these, I would prefer a "so" "such" or "enough" structure.
I don't think his leg is so badly hurt that he can't come to the party.
I don't think he hurt his leg badly enough to prevent him from coming to the party.
I don't feel so bad that I can't hang out tonight.
I don't feel bad enough to stay home tonight.
I'm not so hungry that I can eat your leftovers.
I'm not hungry enough to eat your leftovers.
I'm not very hungry, so I can't eat your leftovers.
For the second and third sentence, the "enough" sentence sounds much better than the "so" sentence.
Put "so much" after a verb, without an adjective. It's rare, but not impossible, to use "so much" with a negative.
He hated that book so much that he burned it.
I hate that book, but I don't hate it so much that I want to burn it.
He ate so much that he felt sick.
I ate a lot, but I didn't eat so much that I got sick.