Mr. Snyder has not tipped his hand on his views of legislation that would curb his successors’ power.

“People should not expect that I’m just going to sign things or I’m just going to veto things,” he said at an end-of-term news conference last week. “If I believe it’s in the best public-policy interest of the state, I’ll sign it, and if it’s not, I won’t.”

Critics say they will go to court to overturn some of the changes. Leaders of the minimum-wage ballot initiative that Republicans have now short-circuited have said they will seek to have the lame-duck reversal of the wage law ruled unconstitutional. In neighboring Wisconsin, the advocacy group One Wisconsin filed a federal lawsuit on Monday seeking to strike down that lame-duck Legislature’s decision to reimpose limits on early voting that an earlier lawsuit had found to be discriminatory.

Mr. Snyder dodged questions about whether Republicans were being overzealous in their rush to cripple incoming Democrats, but suggested that lack of comity was not confined to his party. “I think there’s a civility issue across the board,” he said, apparently taking a swipe at the crowds that have jammed the State Capitol to protest the Legislature’s actions. “One of the ways people are trying to convince me why I should veto bills or be against them is to come yell at me. I’m not sure that I follow the logic of it.”

The governor’s depiction of himself as a policy wonk who is above petty politics is vintage Snyder, but it is not without support.

Mr. Snyder is measurably less partisan and conservative than the Legislature’s Republican majority. He has been comparatively uninvolved in the state Republican Party organization, and he refused to endorse Donald J. Trump for president in 2016. This year he even refused to back the Republican candidate for governor, Attorney General Bill Schuette, a Trump supporter whose high-profile investigation of the Flint water crisis led to criminal charges against members of Mr. Snyder’s administration, including his health secretary.

Mr. Snyder has also rankled Republican lawmakers with vetoes of pet measures large and small, from issuing anti-abortion license plates to allowing concealed firearms in places like day-care centers and sports arenas to an article of partisan Republican faith, stiffening the state’s voter ID requirements.