Just saw this, but American consumers are more sensitive to import prices than export, because consumers generally do not directly receive the proceeds of exports.
Net-net, it'd be hard to say what happens long term in the economy because that has a lot to do with long-term changes in the macro environment, if economic growth remains strong consumers will continue to make out better, if the strong dollar ultimate hurts the economy (and that isn't impossible), a weakening economy hurts consumers more than the stronger dollar.