No, they are chosen because they chose correctly.
By whom also we have access by faith into this grace wherein we stand, and rejoice in hope of the glory of God.(Rom.5:2)
See, to get the 'access' to the grace of God (Justification) we have to believe first
It is by faith ye are saved...
So in order to be 'chosen' you have to 'chose'!
So the choosing is not of God then. God doesn't get a chance to choose us, unless we choose Him. Why must you diminish God?