For the reasons I've given, nothing else will definitely give the quantity of supply necessary in time. The promise of photo-voltaic isn't certain by any means, large scale clean-coal burning isn't proven, large scale storage of C02 is not yet feasible, wind is unreliable, gas will get ever more expensive.
So faced with all these unknowns and problems, the known capability of nuclear is seen as the only definite solution. There's no conspiracy, our governments have dithered for many years in their attempts to avoid going nuclear since it's unpopular with voters, but have reached the point where immediate action is vital. Indeed it may already be too late to avoid blackouts.
As for the price comparison you posted, it's pointless to compare today's price with the future price of Hinckley C since today's price will have multiplied by the time the new facility is completed. To avoid blackouts over the next few years we are going to have to build many gas powered generating stations as a stop-gap, hence the gas pipeline from Norway. We'll have to pay through the nose to get those built by suppliers since they will insist on guarantees as well, and the gas will get ever more expensive year by year.
If we go for a majority nuclear solution as France wisely did long ago, we too will end up with similarly much cheaper electricity than the alternatives. Yes, with nuclear the builds are very expensive like wind, but as with wind the ongoing costs are very low so in the long term much cheaper. But unlike wind which averages under 6/7, nuclear delivers 24/7. Faced with all these facts, of course a government will feel obliged to go nuclear, which is why the opposition parties also support the decision. It's the only realistic and sensible one.