The thing is, if you stay on BST, it means the really dark nights start later on in the winter and last less long. So in February, instead of it being dark at 5.00pm, it would be 6.00pm. Same in November. You could actually do things after work. I have never seen the point that, as soon as the days start to shorten, the clocks are adjusted to make it dark even earlier!
It would also mean running tracks, football tracks and whatever stay unfrozen and frost free slightly longer, thus meaning they aren't closed half the winter, so children and adults can use them more often.
If there really is a specific problem, then there should be a move towards starting work at 8am or 7.30am. Norway manages, and its further north. The Scottish Parliament are always sending reps to Trondheim for some reason to study their road charging scheme (been there and never seen so many miserable people trudging about), you would think they could learn some other things too.
As for winter tyres in Scotland, yes of course people should use them. I do, but then I've lived in Germany where they're compulsary in winter. But actually I think if more people here actually had tread on their tyres, it would really cut down on the number of accidents.