Ah - so you didn't see him because of the parked cars, I guess. Bummer
IMO, you're going to need to get one or two of those witnesses to state that the other car was speeding, 'cos with the situation described and the look of the skidmarks, I'd be surprised if it didn't go 50-50 (you'll claim that you couldn't see him and pulled out as normal - he'll claim that you pulled out right in front of him).
If anything, the claim may even go against you, as you were the one "performing a manouver". Crap, I know - but I've seen it happen.....
EDIT: Thinking about it - if people are refusing to put in a statement even though they witnessed the accident, that's really, really sh*t. I'd be seriously pi**ed (in fact, I'm pretty pi**ed at these people on your behalf!). Did they give any reasons why they wouldn't help?