A few months before we left husband went over to the UK and bought a UK reg. car. Then we sold our french car and van.
We rang Churchill from France and the agent spoke to each of us on the phone. I can't remember if he asked how many points we had, but he did ask about accidents. I had had one bad accident when my car was a write off, I thought I would be refused, especially as I'm ancient. But he agreed to insure both of us.
I don't drive much here anyway, and we're probably going to change to UK licenses soon.
Husband still had one point, I had none, in spite of the accident.
Chrissie - you could try filling in an online application for UK insurance and see what questions they ask etc.