No, the current vaccines still work against these new strains. The difference between strains as it stands is the rate of transmission, not the severity of the illness. Like any virus it is mutating at a rate that helps it survive best, so if it was struggling with means of infecting cells or an incubation period it will mutate to adapt.
The obvious issue with this is the impact it has on the health service. You can see from the curves that the new strain is off the charts in the worst areas, and overall this is causing things like daily recorded cases, hospitalisations and deaths to approach numbers seen in the first wave in spring. Left alone it would surely spiral out of control.
I think the UK had vaccinated 500,000 people as of yesterday.
Additionally, I think Covid deniers should be at the back of the queue for any vaccine, or not at all, whatever their choice may be, especially those wonderful politicians in the US who have been shitting on people all year.