There is no point in discussing something that cannot be helped so left-right issues are irrelevant. That view, while fashionable, is just plain wrong. There is a growing literature about its errors and limitations. The better reason looks to the sociology of developed societies. The mass proletariat with a highly developed class consciousness has disappeared.
Most people see advancement in purely personal terms.
New Labour is not monolithic - fortunately. Any reasonably lively movement always has different strains and New Labour is no exception. That fact has been effectively disguised by the convenient device of contrasting 'New' and 'Old' Labour - as if both were homogenous and any disputes were between two clearly defined camps and so were 'external' to New Labour. This fiction had presentational advantages for an election but a fiction it is. Intellectual life presupposes and entails debate, even dispute.