Is it possible for a state to make voting mandatory? That would be a shake-up.
It would also likely result in political backlash and a constitutional challenge.
Democrats have no excuse for not passing automatic voter registration. They'll be trying again in Oregon next year* but why are we the first? Why are CA/MA/MD/VT/RI/etc sitting on their ass? This is a strange issue to be timid and ineffective about.
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*
http://registerguard.com/rg/news/local/32384554-75/oregon-election-bucked-anti-democratic-trend-in-nation.html.csp