1) You seem confused. Democrats are not anti-big business. What do you think, that breaking up big businesses into medium and small business is part of democrat's agenda? There are big corporations that support democrats, and heads of big corporations too (Buffett is one of the prominents, Schmidt too), and it is not because they hate themselves. They are just fine with nullifying Citizens United and measures that seem anti-corporation to republicans, because it is the sane thing to do and it wouldnt hurt them a lot. Big corporations do support that, as much as you cant believe it. Schmidt likes the Democratic platform.
2) He does support raising minimum wage. He wants low wages, but liveable wages. Buffett is more open about this, than Schmidt. Lot of "big business"-es have come in favor of it. Sorry if this broke your perception of democratic agenda.