In some of the more affluent districts that Democrats flipped last year, the first-term lawmakers have received reassurance in recent days that they are making the right decision. Mr. Rouda, Mr. Levin and Mr. Cisneros all said in separate interviews that the calls and emails that had come into their offices in the last week had been overwhelmingly in favor of pursuing impeachment.
And Representative Dean Phillips of Minnesota, who was the first freshman lawmaker to come out for the investigation last Monday, said that he received a number of calls from Republicans and independent voters who had pressed him to hold the president accountable.
Mr. Phillips’s fellow Minnesotan, Representative Tom Emmer, a Republican who chairs the party’s House campaign committee, said flatly that House Democrats’ impeachment march “will cost them their majority in 2020.”
Yet the most striking element of the CBS survey may have been the Republican movement on the matter: 23 percent of those surveyed said they supported an inquiry.
While that is a relatively small number, it is likely higher in the more upscale G.O.P. districts, such as the one Mr. Phillips represents outside Minneapolis, and it suggests there is an appetite for at least an examination of Mr. Trump’s actions.
That was apparent at a panel held in Austin, Tex., Saturday in conjunction with the Texas Tribune’s “TribFest.” While Representatives Jim Jordan of Ohio and Mark Meadows of North Carolina, two of Mr. Trump’s stoutest Republican allies in Congress, defended him, Representative Chip Roy of Texas said he wanted “to look at the facts.”
Some Republican strategists believe that the key for Mr. Trump is to make impeachment look like a partisan endeavor, with perceptions falling along the same lines of the country’s existing political polarization. The danger for him, then, is that any cracks among Republican lawmakers on impeachment could muddy this red-and-blue divide that often influences voters to side with their preferred parties.