David Sirota finds evidence to think so:

Pew has found that younger evangelicals are less devoutly committed to the Republican Party and its Tea Party-inspired agenda than older evangelicals. Additionally, surveys show a near majority of evangelicals agree with liberals that the tax system is unfair and that the wealthy aren’t paying their fair share. Meanwhile, the organization Faith in Public Life has highlighted new academic research showing that even in America there is growing "correlation between increased Bible reading and support for progressive views, including abolishing the death penalty, seeking economic justice, and reducing material consumption."

I wish "reducing material consumption" were not now regarded as somehow lefty. I always thought thrift and conservation were conservative values. But this is yet another battle I seem destined to lose.