Libertarian. Oh. Well since neither really makes any sense without the other, I guess they either have to learn to be compatible or suffer the pains of an ugly divorce. Nobody wants that.

Hard determinism: a. determinism is true. b. Therefore, free will is false.
Libertariaism: a. determinism is false, b. free will is true.

Exactly.

They're both assuming that the structure and that which animates the structure are two separate things. One is staring at the structure, the other the animator. I've posted before why, as valuable as the analysis is, the synthesis is what actually happens.