Dean, I wish you good luck with your career but I have a few words of warning
1) statisticians RARELY become quants and in todays market it's not so much an issue of lack of jobs, but that employers are looking for exact matches. There are jobs out there and good quants with a grasp of tail risk are needed, but I would tread carefully as statisticians aren't a traditonal match. Just to give an example Way to be a quant from a Master in Statistics.
The thing I'm concerned about is that it was very hard to become a quant BEFORE THE CREDIT CRUNCH, now to add to the above the amount of people that have 6-12 months experience is huge and they are ahead of the queue as your current experience is irrelevant. I wouldn't let it discourage you from learning
C++, but I can see line managers not even bothering to interview you. Yes people will have loads of anecdotes that appear to contradict this, but when it comes down to it will they tell you about the hardship people went through to get a quant job? It took me 3 months just to prepare for interviews, 2 months to get the job in 2005 and things will have moved on since then. Nevertheless, please do use this forum's advice as there are always ways in, in spite of what I said.
2) Quant jobs are not worth it - what few people will tell you is that typically a quant either gets veered away from being a quant through restructuring/shutting down of quant teams. This was quite common even back in 2000-2005 and is a hell of a lot worse now. If this happens too early for you it could ruin your career if your firm shoves you into a role that is not you.
With that in mind all these marvelous salaries and bonuses have to brought into perspective - bonuses in finance are a reflection of the likelihood that you will have 4-8 redundancies in your career, not a bit of extra cash. Also generally speaking traders make the bonus money and quants get the leftovers, which only be good if they've worked in a high pressure job where the hours are nasty, you work with traders that are sharp and trained to abuse quants whenever they get the hump about them.
People usually retort with "but you're well paid" when you explain this, but frankly this is a non-argument as the danger with redundancies is that your career veers off track and you end up in a non-quantitative finance job, unable to get back to being a quant, get fired and earn £0k per annum.
3) Sorry to be so negative, but most quants either spend 5-10 years in the industry and leave because they hate it or get veered away from being a quant. It's all and well giving you the right tips to become a quant, but there are other fields for statisticians and you really have to understand your favoured way of working.
But, again, in case you haven't figured it out career transitioning, particularly in technical fields is prohibitively difficult and "being highly qualified" is irrelevant - one of my close banking friends described career transitioning as "not allowed" within banking, even when you consider using further education. Banking and finance is also renowned for lack of transferable skills and migration (e.g. most trader friends of mine with the right MSc in risk management simply can't get into risk management) which means that unless jobs are easy to come by you will have a mammoth task to get out of finance. On top of that, rather than valueing relevant experience, many employers in non-finance fields see your motivations for getting into finance as "so you thought the grass was greener on the other side" when you're trying to get them to employ you.