I’m afraid to say that John XXIII’s “traditionalism” only goes as far as liturgy. He was progressive in all other respects, as can be gleaned from his writings and comments. He purposely made Montini a cardinal, against the advice of other traditional prelates – so he could stand a chance of becoming Pope.
I am willing to believe that towards the last days of his life, he may have regretted calling the council so soon.
Dr. Luigi Villa, a priest who has spent his life investigating the masonic infiltration of the church, wrote a memorandum to the Vatican in 2000 against John XXIII’s beatification, which can be found (Warning ##PDF file**) here.