Fiscally minded "Blue Dog" Democrats in the House and conservative Democrats in the Senate are worried about estimates of how much the plans will cost.
The CBO estimates that the Senate bill would reduce the number of uninsured by about 31 million, the main GOP plan would reduce the number by about 3 million.
Nobody in Congress had ever heard of a weapons program costing that much, so by the time senior Pentagon officials appeared at a hearing before the Senate Armed Services Committee on May 19 to explain the new cost estimates, they faced a firestorm of criticism.
The latest cost estimates from the Government Accountability Office (GAO), published in May to coincide with a Senate Armed Services Committee hearing on the F-35 programme, were shocking.