But I suppose there is a certain irony in what they espouse and what they teach and believe. Eventually they'll modify the Mass to catch up with their doctrinal standards. This is, after all, what doctrinal development is all about, isn't it?
Like this, for instance? "Therefore, brethren, stand fast, and hold the traditions which ye have been taught, whether by word, or our epistle." 2 Thess 2:15 KJV
Do you believe a Muslim can be saved by living according to the beatitudes?
No one can be saved merely by living according to the beatitudes. This is what the Church teaches: "For by grace you are saved through faith, and that not of yourselves, for it is the gift of God".