Is the BBC really a-political?

Having just watched a YouTube video of an Andrew Neill interview on the BBC I have come to the conclusion that I dislike what the man represents, intensely.
I find his air of intellectual superiority, his smug self-righteousness and his ego insufferable.

Mostly I dislike his controlled aggression and that poorly-disguised, left-wing bias that the BBC prefers in its presenters.

I suspect that the BBC has had a policy of not employing any presenter 'of the Right' or even slightly left of Centre, much the same as its policy of not employing many white English-accented presenters.