Martin Bonner wrote:

For some reason, the Democrats are associated with blue, and the
Republicans with red. The thing to remember is that the Democrats and
Conservatives are at about the same point on the political spectrum -
it's just that the same cannot be said of their respective opponennts!

I'm surprised you should say that.
"New Labour" and the Democrat party seem to me more or less interchangeable.
But I don't see David Cameron singing at a Baptist convention.