Looks fairly clean

Will you be able to power it with line A and B?

What about a step up, would that work?

That's a pretty good looking schematic! BTW that's an original ballast from 1960.

@Joe_347V: Why not? But it should be rated for at least 900VA, or have reversible thermal protection, as in case the lamp extinguish, the capacitor current would load the transformer with about 3A, while the normal current of the compensated circuit (to usual 90% power factor) is less then 2A on 240V...