The Note's Must-Reads for Tuesday May 7, 2013

The Note's Must-Reads are a round-up of today's political headlines and stories from ABC News and the top U.S. newspapers. Posted Monday through Friday right here at www.abcnews.com

Compiled by ABC News' Carrie Halperin, Amanda VanAllen and Jordan Mazza

BENGHAZI ABC News' John Parkinson and Luis Martinez: "US Diplomat Reignites Benghazi Controversy" The top deputy to the U.S. ambassador killed in the Sept. 11, 2012 attack in Benghazi, Libya, is prepared to deliver testimony this week that could contradict the administration's explanation of the deadly attack, renewing the controversy over whether all available resources were utilized while the attack unfolded. Gregory Hicks, the deputy chief of mission for the U.S. in Libya, is set to testify Wednesday before the House Oversight and Government Reform committee. LINK

HOUSING The Wall Street Journal's Jennifer Levitz: "Public Housing Agencies Push to Impose Time Limits, Work Requirements for Aid Recipients" Deep in the president's new budget is a plan that could transform public housing in the nation by allowing housing authorities to increasingly set time limits or work requirements for participants. Currently, government housing benefits are generally open ended. Unlike welfare-which has a five-year limit-federal housing programs allow low-income Americans to receive rent vouchers or live in government complexes for decades. LINK

HEALTHCARE The New York Times' Annie Lowrey: " Slowdown in Health Costs' Rise May Last as Economy Revives" One of the economic mysteries of the last few years has been the bigger-than-expected slowdown in health spending, a trend that promises to bolster wages and help close the wide federal deficit over the long term - but only if it persists. Major new studies from researchers at Harvard University, the Henry J. Kaiser Family Foundation and elsewhere have concurred that at least some of the slowdown is unrelated to the recession, and might persist as the economy recovers. LINK

IMMIGRATION REFORM The Washington Post's David Nakamura: " On immigration legislation, fissures emerge within conservative ranks" Leading conservatives engaged in a bitter public fight Monday over the costs of overhauling the nation's immigration system, exposing a rift within the Republican Party days before the Senate is set to begin debating a comprehensive reform proposal. The Heritage Foundation, led by former GOP senator Jim ­DeMint, released a study Monday that estimated that a bipartisan immigration proposal being considered in the Senate would cost U.S. taxpayers $6.3 trillion in coming decades, mostly because of health-care and social service costs for 11 million illegal immigrants who could become citizens. LINK

Politico's Reid J. Epstein: " Biden: Gun control to wait for immigration" Vice President Joe Biden on Monday acknowledged what everyone involved in gun control has been saying privately for weeks: Any votes for expanded background checks must wait at least through the summer while the Senate debates immigration reform. Biden offered the White House timeline to a group of about 20 representatives from faith-based organizations, three people who attended the meeting told POLITICO. LINK

Bloomberg's Julie Hirschfeld: " Rubio Immigration Sales Job Risks Ire of Key 2016 Voters" Jane Yoder Blankenship plants a grandmotherly kiss on Senator Marco Rubio's cheek and then leans in to issue a warning. "You be careful of Schumer and John McCain," the 82-year- old retired guidance counselor says in hushed tones, referring to New York Democrat Senator Chuck Schumer and McCain, an Arizona Republican, who are teamed with Rubio on a revision of U.S. immigration laws. LINK

The Washington Times' Stephen Dinan: " Report: Legalizing illegal immigrants to cost $6.3 trillion" The Heritage Foundation said Monday that legalizing illegal immigrants would cost taxpayers a net $6.3 trillion over the next 50 years - releasing a report that ignited a venomous battle over an immigration bill and who is truly representing the conservative movement in the debate. LINK

USA Today's Alan Gomez: " Study: Immigration overhaul will cost $6.3 trillion" The conservative Heritage Foundation estimates that a sweeping immigration plan being pushed by a bipartisan group of senators will cost the country $6.3 trillion over the next 50 years, a figure they hope persuades Republicans to oppose the effort. Through their use of government services, their reliance on welfare benefits and their eventual use of Social Security, Medicare and benefits through President Obama's health care law, the report found that the nation's 11 million unauthorized immigrants would receive $9.4 trillion in benefits and services, but pay only $3.1 trillion in taxes. LINK

ONLINE TAX BILL The Hill's Bernie Becker and Ramsey Cox: " Senate approves online sales tax bill" The Senate on Monday approved legislation that would for the first time allow states to collect billions of dollars in online sales tax revenue from out-of-state purchases. The 69-27 vote is a major victory for retail groups and state governments, who for years have fought to close what they see as a loophole that allows as much as $23 billion in annual taxes from online sales to go uncollected. LINK

ABC NEWS VIDEO "NRA Vows to Fight for Rights at Convention" LINK

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