The Democrats have always been a party of the rich, just as the Republicans have always been a party of the rich. The fact that the former also win the support of non-rich Americans by promising to throw them a bone every once in awhile does not fundamentally alter the class character of the party, which is and always has been bourgeois. The Democrats are a shaky alliance between bankers, tech companies, and higher education facilities, which treat labor unions like an expense account, using their funds to undermine their position with things like NAFTA, privatization, and the like, while also singing praises to the 'middle class' and occasionally raising the minimum wage (whenever they can't avoid doing so, that is)
Sounds better than the party that wants to impose nationwide right-to-work laws, abolish the minimum wage, abolish child labor laws, etc. etc.