Republican senators who have not backed nuking the filibuster for the SAVE Act include John Thune and Thom Tillis ; Mike Lee and Rick Scott have been more open to rule changes, while John Cornyn later said he supported whatever Senate-rule changes were needed.

What the reporting shows

  • John Thune said changing filibuster rules for the SAVE Act was not realistic.
  • Thom Tillis called ending the filibuster a “foolish and lazy idea” and said he would not vote for it.
  • Lisa Murkowski was also described as opposed to the proposal, though she is a GOP senator from Alaska rather than part of the Trump-aligned push.

Why this is the answer

The reporting says the Republican conference does not have the votes for a filibuster change, and Thune has publicly acknowledged that reality. So the clearest Republicans on the “no” side are Thune and Tillis, with Murkowski also opposed.

Name check

Senator| Position on nuking the filibuster for the SAVE Act
---|---
John Thune| No / not realistic 45
Thom Tillis| No 6
Lisa Murkowski| Opposed 5
John Cornyn| Later supported rule changes 7
Mike Lee| More supportive of forcing action 13

The simplest read: the main Republican holdouts are Thune and Tillis, with Murkowski also on the no side.