On social issues such as abortion and gay marriage, yes. On economic issues such as trade, not since the Clinton/DLC era they haven't shifted to the left.
Very much agree. But on social issues - very substantially. "Pro-choice" and "pro gay marriage" became almost obligatory position for most Democratic candidates (at least - outside South, but even there in large metropolitan areas - too). 20 years ago (may be even 10) Democratic legislative caucus even in Massachusetts was, probably, "pro-life"... Economicaly - no, with growh of "middle class" and fewer influence of unions that's natural phenomenon..