Maybe omnishambles could be the British version. This term is rather new, as Wikipedia shows:
Omnishambles is a neologism first used in the BBC political satire The Thick of It in 2009. The word is compounded from the Latin prefix omni-, meaning all, and the word shambles, a term for a situation of total disorder. Originally a shambles denoted the designated stock-felling and butchery zone of a medieval street market, from the butchers' benches (Latin scamillus - "low stool, a little bench"). The word refers to a situation that is seen as shambolic from all possible perspectives. It gained popularity in 2012 after sustained usage in the political sphere led to its being named Oxford English Dictionary Word of the Year, and it was formally added to the online editions of the Oxford Dictionary of English in August 2013.
OxfordL defines it as
a situation that has been comprehensively mismanaged, characterized by a string of blunders and miscalculations
As an interesting aside, inews says
The word shambles, with or without the omni-, was once all about a literally bloody mess. The originals, still preserved in old British street names, were the stalls of medieval butchers whose wares of raw flesh and gore led to our modern use for something approaching carnage.
MentalFLoss shows its particular use in political contexts:
According to the OED, omnishambles really took off after it was used by Labour leader Ed Miliband in the House of Commons to deliver a sick burn on then-Prime Minister David Cameron.
“So, Mr. Speaker,” Miliband said, “we’re all keen to hear the prime minister’s view as to why he thinks, four weeks on from the budget, even people within Downing Street are calling it an ‘omnishambles’ budget.”
PS. Apparently, the term continues to "mutate" as we speak, as per this BBC article (read especially under the entry Romneyshambles).