I infer my belief that God saves only the elect from what you just said. While the blood of Christ is sufficient to save all men, it is, to borrow a word, only efficacious to the elect.
So your inference "While the blood of Christ is sufficient to save all men, it is, to borrow a word, only efficacious to the elect" is your own construct.
The New Testament says that in order to be saved one must (a) be baptized and (b) believe. This clearly shows that infant baptism was performed in the primtive Chruch because infants cannot believe. But, the NT also says that only those who do not believe will not be saved (i.e. baptism by itself does not save). [Mark 16:16]
So, Christ's redeeming Blood does not "work" for those who refuse God; yet God offered His Blood for ALL. In fact, He offers it until the very last breath of ours. Hello, what would it take for our lost brethren to comprehend that God would have all men saved? [1 Tim 2:4]
Then we agree on that.
Now, the question - what makes grace efficacious? LOL!
Regards