Driscoll's statement does not follow from Calvinism, particularly. It is probably a gloss on I Cor 15: 19, that the Church rests fundamentally on the Resurrection of Jesus Christ and is a waste of time without it. That I accept. What I would do instead of be a Christian if I rejected the resurrection is another matter. Probably not eat, drink, be merry and shoot people. So I thought it was a misguided gloss.
However, if one's salvation is predestined and one is either saved or not on the basis of God's choosing to actualize a world in which I am saved or a world in which I am damned, then some would say that one not worry about holiness. In fact a family friend sent their kids to a Calvinist school which, it turned out, had quite a reputation as a party school. The idea was that people were either predestined to be lost or saved, and nothing could retroactively change that divine decision, so why not party hearty?
I think I figured out once that whether this is true or not depends on whether you accept the one-box or the two-box solution to Newcomb's paradox. Whether or not one is holy is going to be evidence of election, so if I were a Calvinist I would probably try to be good, if for no other reason than the fact that I would sleep better at night if I didn't think I was a son of perdition.