Nearly every public opinion poll ever taken has shown that Medicare and Medicaid are enormously popular programs. People in all demographic and political groups support these programs by large majorities. Even the vast majority of Republicans support these programs.
This is why it is peculiar to see the Washington Post tell readers that:
"House Republicans upped the pressure on the president last week when they introduced a plan to slash government spending by $6 trillion more than the president’s plan over the next decade — largely by shrinking Medicare and Medicaid."
Given that the Republican plan to essentially end Medicare and Medicaid is likely to be enormously unpopular in addition to being bad policy (it would add more than $20 trillion to the cost to the country of buying Medicare equivalent policies for the next 75 years) it is hard to see why this would place additional pressure on President Obama to do anything. Would it increase pressure on Republicans to support tax increases on the wealthy if President Obama proposed large tax increases on the middle class?
The claim that President Obama is now under increased pressure to propose cuts to Social Security, Medicare, and Medicaid coincides with the Washington Post's political position (they want to see President Obama propose large cuts to the budget), but there is zero evidence presented in the article to support this claim.