In reality capitalists love democracy. When people have freedom capitalism works best.
Democracy can be used to restrict freedoms, including economic freedoms, as a counter point the democratically elected socialist states, but that is just a counterpoint.
Just look to the nations some people falsely claim are socialist, like Denmark and such. Business does great since there is still freedom. They are not socialist.
This is one of the strangest misconceptions about the Scandinavian countries, social programs funded by private property and strong market economies with very high taxation.
Yes, democracy does give people the freedom to choose a more left, or right, path. As long as there is still private property right that is fine.
Which is why it is worrying to see when there is calls for abolishing property rights, which we can expect to rise if the middle class shrinks over time.
