I had the same arrival time a couple of years ago. There was no line for DME. It was eerily quiet, but it was open, there were still CMs there to direct you, busses, drivers, etc.
Picking up your bags at the carousel is not a big deal, many prefer it actually. You wno't have to wonder when your bags will show up in your room. If there is a baggage delay, you'll know right away.
1984 & 85 - Off Site, 1999 CBR, 2003 BW/GF, 2008 Disneyland Hotel, 2009 WL, 2011 Poly, Feb 2013 - YC, Sept. 2013 - WL, Dec. 2013 - CR