Even though I'm addicted to Desmo twins, there's a bike based on a Harley that I'd LOVE...
Mert Lawwill builds these beauties that he calls "Street Trackers." He starts with the bottom end of a Sportster 1200, and that's about all he keeps! The only twin I'd take over this one would be a mid-70's Ducati 900 Super Sport.
Mark
These are awesome, don't forget that Storz Performance has flat track kits for the Sportsters too! They are just the cosmetic stuff, but as with any H-D engine parts are ALWAYS available.
http://www.storzperf.com/xr1200.html
(Still haven't learned how to post pictures!)