Washington (CNN) - A day after the White House claimed victory in its Obamacare enrollment numbers, the group tasked with electing Democrats to the House acknowledged it's still a "tough climate" for Democrats in this year's midterms, but also insisted they still plan to campaign on the health care law.
But Rep. Steve Israel, chairman of the Democratic Congressional Campaign Committee, said an even bigger focus this year will be renewed attempts by Democrats to clobber Republican Rep. Paul Ryan's budget plan on the campaign trail.
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Speaking at the National Press Club on Wednesday, Israel said Democrats are "ratcheting up" their offense against Republicans who favor a repeal of the health care law, and stressed that Democratic strategy will focus on the negative consequences of eliminating the law.
Israel faulted Republicans for maintaining an "obsessive" and "relentless" assault against the Affordable Care Act. Obamacare is "the only thing that animates a fractured, weak base that is in a civil war," he said, referring to the GOP.
But Israel didn't suggest there'd be party-wide Democratic support for the health care law. As some candidates or incumbents in tight races have distanced themselves from President Obama-whose approval ratings have remained underwater this year-Israel acknowledged that some Democrats will need to continue doing what's best for their contests.
"Every member has to be a good fit for their district. When you have a disagreement with the President, you should state your disagreement. When you have an agreement with the President, you should state your agreement," he said. "Don't worry about what's happening inside the Beltway. Worry about what's happening when you go door to door."
The priority, he said, will be bashing Ryan's budget plan, which balances the federal budget in a decade in part by repealing Obamacare, changing Medicare and cutting social programs like food stamps.
"Let me give the three words that will define the next seven months: The Republican budget," Israel said.
Democrats argue that Ryan’s budget places too much of a burden on the middle class, while allowing tax breaks for the wealthy.
"They should have just printed a middle finger to the middle class on page one of this budget," Israel said.
Democrats also zeroed in on the House Budget Committee chairman's proposal in the 2012 cycle, and attributed that line of attack to their net gain of eight seats in the House, though they still failed to win back the majority. Israel said current internal polls show an attack on the GOP budget remains a winning argument for Democrats.
Republicans say the strategy is not as potent as Democrats hope.
"In 2012-with President Obama on the ballot-Steve Israel called Paul Ryan the Democrats' 'majority maker,' yet his party didn't even come close," said Andrea Bozek, a spokeswoman for the National Republican Congressional Committee.
Republicans also point to their recent win in Florida's special House election, in which the Republican candidate – who ran against Obamacare – ultimately won.
"We hope Democrats keep running on their support of Obamacare's drastic cuts to Medicare, opposition to a balanced budget, and support for an unpopular President," Bozek said in a statement.
Polls show the country remains split on the controversial health care law. According to a recent Washington Post/ABC News survey, 49% of Americans support the law, while 48% oppose the changes it's making to the health care system.
Forty-nine percent, however, say they don't favor Republican efforts to replace the law, while slightly fewer, 47%, say they back such efforts.
CNN Capitol Hill Reporter Lisa Desjardins contributed to this report.