This is a little confusing. As a point of theology that a Calvinist believes that the atonement of Christ actually atoned, as opposed to potentially atoned for all who would ever be saved (the elect by name) is correct. But the Calvinists I read, even the high Calvinists, do believe that in time everyone who is saved does (and must) come by faith and then and only then are the salvation benefits of the atonement applied to that individual.
This simply cannot be denied without going way off track. Faith in your election, or faith that you are elect, has no bearing on your salvation, however correct or incorrect it may be as a theological truth. At the point of actual conversion, a person comes to Christ willingly and by faith, putting their case so to speak in Christ's hands and pleading nothing but that they need Christ. Election or non-election have no bearing here. That those who do this are already elect is a Calvinist teaching, and that those who do this are of the elect after or as they do this is the non-Calvinist view. But that everyone who is saved does this is not in dispute, at least from the Calvinists I am familiar with.
Any Calvinism, if there is such a thing, which goes so far in predestination as to begin to deemphasize the absolute necessity of faith as what is done on man's part, in order to be saved is on a dangerous path in my view.