I agree with you, Eolian, about this - I don't believe any UK party has the first clue about how to make schools better,
The trouble is that both main parties get it seriously wrong. When, as Labour tends to do, they take the approach of mandating certain things, on the advice of the 'experts' in our university education departments, they end up embedding bad ideas: witness the prioritisation of whole language guessing in the National Literacy Strategy, for example, or the introduction of financial penalties for permanent exclusions.
Tories, on the other hand, tend to take the just-as-bad (worse?) approach of setting targets, in the hope that schools will research what works and choose the most effective methods - but many/most? don't, usually because they're wedded to their less effective pre-existing ideas, which again are what they were originally taught by 'experts' in teacher training. And those ideas often actually prevent teachers from teaching well: mandated group work, negative view of kids working in silence, no more than 10 minutes teacher talk in any lesson, VAK differentiation, etc., etc.
But of course Labour had targets too, and they allowed the 'regulatory capture' of Ofsted on their watch, so that many teachers are actually being forced to use these 'expert' methods that mean they have one hand tied behind their backs, as they try to achieve those targets: a 'perfect storm' that led to the constantly increasing pressure on teachers to work harder and harder. And the Tories have only made that worse.
This is why I'm very sceptical about the idea of a national body mandating change in consultation with 'experts'. Too many education 'experts' base their 'expertise' on ideology and philosophy, rather than actual evidence. (Witness the huge resistance among 'experts' to systematic phonics instruction.)
In my opinion, it's this anti-evidence bias of most of our 'experts' that lies at the deepest root of the problems with our schools, and until university education departments undergo serious reform, we will continue to have these problems. 