Interesting thread this, I'm looking at changing bars also on my '07 FLHRC and thought about the Heritage bars but was told that new cables were a must so ruled out that option.
Then I was pointed towards the Reduced Reach Road King Handlebars P/No. 56152-04 for '02 and later Road Kings however, the catalogue says that these also require the use of additional Clutch Cables, Throttle / Idle Cables, Brake Lines and Switch Wire Extensions. Has anyone had any experience of these?