If the government takes away the power from BoE, and "do it right for the people", the problem with that is they are doing it for the target demographic that would vote for them, meaning the move would be at least seen as political. And whilst using the economy as a reason to vote for your party is nothing new, using the economy as a chess move for the next general election is a very scumming thing to do. To me that is a very short them gain in order to push the problem down the line.
Turkey has long resisted pushing up their interest rates, and what happened? their currency crashed, and kept crashing, meaning the country's import cost has increased, it went on so long that their central bank is starting to run out of money, and had no choice by to raise rates to 15%.
This could be us, if we don't increase rates "slowly"...(note that our rates is not that indifferent to the US, it's just we tend to do short term mortgage and they do long term.) then the country will be poorer as a result since we import a lot of goods from around the world, now not in the EU, it will further drive up the cost.
So....Tories (or any party) taking control of the rates...TERRIBLE idea.