Lindsey Graham, John McCain and Ron Johnson laid out their terms for supporting "skinny" Obamacare repeal.
Top Republicans driving the GOP tax reform effort have given up on border adjustment.
AHIP said "uncertainty" in the individual health insurance market would not be resolved by skinny Obamacare repeal.
Lindsey Graham also said that Trump going after Robert Mueller could be "the beginning of the end" of his presidency.
Zinke's calls came after Trump tweeted Wednesday morning that Murkowski "let the Republicans, and our country, down."
Democrats on two key Senate committees asked for the score based on reported features of a "skinny" Affordable Care Act repeal.
The Senate on Wednesday rejected a proposal to repeal parts of the Affordable Care Act without an immediate replacement.
Trump spoke to students days after he riffed about politics and joked about firing a Cabinet member in front of a Boys Scouts event.
Trump took a House GOP request a step further when he blocked all transgender troops from the U.S. military.