I have an Toyota Camry XLE-V6 and a Toyota Camry Hybrid both 2007's and similarly (fully loaded) equipped. I have State Farm and pay identical premiums (within a few dollars/month) for the two cars. So no apparent Hybrid insurance ding here. Actually the Camry Hybrid is $6 less semi-annually than the XLE-V6.
I've tried other insurance companies over the years and settled in on State Farm in my old age. I like the agent. Call it a "comfort thing". I think I've had maybe two claims in my entire life and both were paid quickly and fairly. If it ain't broke don't fix it I say.