Long time, no see, prick [not in a nasty way], how's it going? ^^
As for this heritage stuff, sure, call yourself Scottish if you want, but it does irritate me all the Americans I've met who have never been to Scotland, couldn't even point it out on a map, repeatedly mispronounce "Edinburgh", and insist on refering to Tartan as "Plaid", and yet say they're Scottish due to their great great grandaddy having emigrated from Scotland!
IMHO, that's just rediculous. I don't think you're justified at all in refereing to yourself via a herritage which you have no direct connection to, I might as well run about calling myself a Pict because of my great great great.... great grandad being Pictish [which he may well have been].
And anyway, how far back do you go? What's the cutoff point for heritage? What if we just skip the Middle Ages and go back to Roman times and run around calling ourselves Gauls?
An interesting example is Idil Amin, the Dictator from Uganda, who fell in love with Scotland and went about in a Kilt and had his own highland regiments wearing tartan and playing the bagpipes. Now, that guy was a psychopath, but I think if he started identifying himself as Scottish rather than Ugandan, he'd be more justified in doing so because he soaked up the culture and the herritage and tried to make it his own, far more so than any of the many many Americans who tell me they have "Scottish Blood" in them, yet look confused if I ask them where their Sporran is.