MADISON, Wis.  As four game wardens awkwardly stood guard, protesters, scores deep, crushed into a corridor leading to the governor’s office here on Wednesday, their screams echoing through the Capitol: “Come out, come out, wherever you are!”

Behind closed doors, Scott Walker, the Republican who has been governor for about six weeks, calmly described his intent to forge ahead with the plans that had set off the uprising: He wants to require public workers to pay more for their health insurance and pensions, effectively cutting the take-home pay of many by around 7 percent.

He also wants to weaken most public-sector unions by sharply curtailing their collective bargaining rights, limiting talks to the subject of basic wages.

Mr. Walker said he had no other options, since he is facing a deficit of $137 million in the current state budget and the prospect of a $3.6 billion hole in the coming two-year budget.