I don't know how constituents in either party view things, but it seems pretty clear how members of Congress view things.
There is a bill in Congress now to strip away the rules the FCC passed last year that prevent ISPs from selling your browsing history and other personal information without your permission.
In the House, here is the list of sponsors:
Rep. Flores, Bill [R-TX-17], Rep. Blackburn, Marsha [R-TN-7], Rep. Olson, Pete [R-TX-22], Rep. Lance, Leonard [R-NJ-7], Rep. Scalise, Steve [R-LA-1], Rep. Latta, Robert E. [R-OH-5], Rep. Guthrie, Brett [R-KY-2], Rep. Kinzinger, Adam [R-IL-16], Rep. Johnson, Bill [R-OH-6], Rep. Long, Billy [R-MO-7], Rep. Brooks, Susan W. [R-IN-5], Rep. Walters, Mimi [R-CA-45], Rep. Cramer, Kevin [R-ND-At Large], Rep. Collins, Chris [R-NY-27], Rep. Costello, Ryan A. [R-PA-6], Rep. Bilirakis, Gus M. [R-FL-12], Rep. Shimkus, John [R-IL-15].
In the Senate, here is the list of sponsors:
John Barrasso (R-WY.), Jeff Flake (R-AZ.), Roy Blunt (R-MO.), John Boozman (R-AR.), Shelly Moore Capito (R-WV.), Thad Cochran (R-MS), John Cornyn (R-TX), Tom Cotton (R-AR), Ted Cruz (R-TX), Deb Fischer (R-NE), Orrin Hatch (R-UT), Dean Heller (R-NV), James Inhofe (R-OK), Ron Johnson (R-WI), Mike Lee (R-UT), Rand Paul (R-KY), Pat Roberts (R-KS), Marco Rubio (R-FL), Richard Shelby (R-AL), Dan Sullivan (R-AK), John Thune (R-SD), Roger Wicker (R-MS), Jerry Moran (R-KS).
Note that all 17 sponsoring Representatives and all 24 sponsoring Senators are Republican.