They don't have time on their side: they are despised. And with good reason. Tax cuts for the wealthiest and cuts to social security? How does that work in a modern social democracy unless the objective is a right wing coup?
That said, Starmer needs to turn up the heat a bit. Quite a bit, or else the ERG will reduce us to slaves of corporate wealth: What institutions does the British state own, now? Water? No. Gas? No. Electricity? No. The railways? No, apart from Network Rail. The NHS? Well a bit, but we are working on it. Air Traffic Control? No, New Labour quietly flogged that off too.
Need I go on with privatised prisons?
If you don't have state institutions then you don't have a state. Or a country...