TOPEKA, Kan. — President Obama stood on the steps of the Capitol in Washington on Monday afternoon and laid out an expansive liberal agenda for the nation. Inside the Kansas State Capitol here this week, Gov. Sam Brownback and Republican legislators have been drafting what could be a blueprint for the other side.

On Wednesday, lawmakers received a bill to inch the state closer to eliminating income taxes, a centerpiece of a broad legislative vision that many in the Republican Party here hope will serve as a model of conservative governance for other states, if not the nation, to follow.

While Republican principles of small government and low taxes have holds on large swaths of the country, Kansas provides perhaps the starkest view of the crimson ideology that could challenge Mr. Obama’s Inauguration Day rallying cry.

This month, the largest tax cut in Kansas history took effect, and most of its Medicaid system was handed over to private insurers. The bill introduced this week would pare taxes further, with the goal of eventually eliminating the state’s individual income tax. Mr. Brownback has already slashed the state’s welfare roll and its work force. He has merged government agencies and is proposing further consolidation. He is pushing for pension changes, to change the way judges are selected and for altering education financing formulas.