For me, I would say that it depends on the situation, and your particular circumstances. If my diabetes does not get in teh way of me doing something, then I would answer no, at that point (parking spaces at tescos, working in an office, being a Mum etc) but in others..eg being a police office, or an ambulance driver, where I could take 2 minutes out of my day, to test my blood and treat any hypos, then yes, it is a disability.
DLA. Not ever thought of claiming it...but all that means is that I am lucky enoough not to need to , not that someone else shouldn't.
Interesting point about the "normal" thing. I can see where you are coming from....but for me, I try not to make any more fuss than I have to about my diabetes (and when I have to,, I do) as, I have always hated when I have been discriminated against because of it. At school, they told me I could do sports day, becasue I was diabetic....completely stupid, and they did ;et me in the end...but it was this struggle against discrimination, that makes me want to be as normal as possible.