Check the historical votes again. Implementation of and changes to Rule XXII were made with at least 2/3rds of members present and voting.
I don't disagree that Byrd has engineered some rules changes on a simple majority, but he didn't engineer a change to the cloture hurdle on that basis.
The GOP has been the minority party in Congress for most of the 20th Century. The Dems held the House for 40 years straight. During the period 1932 to 1992, the GOP held the majority in the House for just two sessions or four years out of 60.
1936, the Dems had an over 200 member majority over the GOP in the House and over 50 in the Senate. I wonder if the MSM were talking about minority rights then.
In the 20-year period 1958 to 1978, the Dems held the majority in the Senate. During the 11 Congresses, the Dems had majorities of at least 20 Senators 7 out of the 11 times and over 30 twice. For those in Rio Linda, that means there were at least 60 Dems during those years and at least 70 for two of those years.
Until this past decade, the US has essentially been run by one party for over 60 years. The GOP must stop acting like the minority party or it will be again.