In addition to voting down the amendment, Minnesotans also gave DFL, the state's left-wing party, majorities in both the House and Senate. The interpretation from Joshua Newville:

Since last night’s election also gave the DFL control of the Minnesota legislature, and since Governor Dayton is pro-marriage equality, it is almost certain that, despite initial words to the contrary, Minnesota is now on the fast-track to also establishing marriage equality.

Doug Grow's reporting suggests otherwise:

Spending the last two years in the minority has been a sobering experience for DFLers. But it’s also been educational. They’ve seen what happens when a majority party jams things like marriage and voting amendments onto the ballo[t] without bipartisan support. DFL Rep. Ryan Winkler [a strong supporter of same-sex marriage] said watching how Minnesotans approached this election "made me proud of our state. … Minnesotans don’t like it when you overstep. That’s what Republicans did, and it’s something we have to remember, too."

Dale Carpenter, who worked on the state's equality campaign, reflects on how the amendment was defeated and its greater implications: