Speaker John Boehner will use a private party meeting Wednesday to lay out a new strategy to chip away at Obamacare, brushing back at House and Senate conservatives who have urged a government shutdown if the law is funded.

Boehner (R-Ohio) will give a presentation saying that the House Republican leadership supports continuous votes to build “on the successful, targeted strikes against the law that took place in the House this month and resulted in significant Democratic defections, chipping away at the legislative coalition that keeps the president’s health care law on the books,” a GOP leadership aide said on Tuesday evening. …

It all comes down to this: internal GOP projections show Republicans keeping — if not expanding — their majority in 2014. And Boehner — a veteran of the 1995 government shutdown — isn’t eager to cement the narrative that his chamber favors interrupting critical government operations. …

When Boehner talks to House Republicans, he will not “rule out the ‘defund’ tactic in any way,” an aide said, and the speaker “will note that [the leadership] strategy is compatible with whatever direction the conference decides to take with respect to upcoming legislation to fund government operations.”