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"I've got the kind of body that doesn't gain weight no matter how much I eat, so I'm fine." "You just turned every person on the planet against you in this very moment."

Literal

How-much eat-[even-ても] not-get-fat constitution is-[because-だから] all-right is. / Now this moment world-inside [gen-の] people [obj-を] enemy [to-に] turned [よ].

いくら~ても is a fixed concessive pattern: 'no matter how much X, Y.' いくら takes a scalar/quantity meaning that 'however much' captures. 体質だから chains a noun predicate to から; with nouns/な-adjectives, the copula だ comes before から. In the retort, 敵に回す is the set phrase 'to make an enemy of' — 回す here doesn't mean 'rotate' but 'place into that role.' 世界中の人を is a compact 'people of the entire world.'