Well aware, and tried to imply as such in my initial post regarding Mike Lee and Rand Paul being above-average exceptions. Though Dems absolutely love spying on Americans too, as the Obama admin proved. Judging either party on the whole purely along the lines of privacy protections/civil libertarianism, I'd give the Dems the edge, but it's not a massive one in practice. ~75% Reps are consistently pro-FISA expansion (until Trump told them to oppose it), ~33% of Dems are consistently pro-FISA expansion, and of the remainders, sufficient numbers will be pro-FISA expansion in favor of the incumbent president. True civil libertarians have been a minority in the government for about a century, with just a handful of exceptions (like Congress immediately following Nixon's resigning passing the FOIA).
The specific issue from Barr isn't really clear to me in either that NYT article or elsewhere. I certainly haven't read the full bill and even if I did I'd probably get the legalese wrong, but I'm talking about the widely-reported issue of how the bill allows warrantless surveillance of American's internet activities. I do agree that it was a power move on Trump's end though; Rand pushed his amendment by kissing Trump's ass over 'Obamagate', it ended up only getting a dozen votes (none of them Democrats), and was useful as a further wedge between Trump and the bill. With Trump anything could change, but for now, it was a great (and rare) move from him when even Bernie Sanders cucked and couldn't be bothered to sign the Wyden amendment.