If people in the US voted as Britons do, Connecticut would be the safest GOP state and Mississippi would be a Democrat landslide (80%+ Democrat).
You're assuming that poorer people will believe the Democrats when they claim to be "on their side". It doesn't ring true when the US Senate is full of liberal Democrats that are millionaires.
One of my state's Senators, Dayton, is from an extrememly wealthy family. How can he relate to a guy trying to start his own business?
No question Mississippi would be staunch Democrat if US voters voted the same way as British Voters. It's the poorest state in the US. The poorest UK areas tend to vote +70% Labour.
On the other hand a place like Connecticut in the UK would be iron-clad Tory, probably a bit like Surrey.