@stephen two things:
1. Induction. Look into it if you haven't.
2. I really think a lot of this is psychological. I was very surprised to find out that my parents' electric stove is faster at boiling water in my stovetop kettle than the "normal" burner on my gas stove. So much heat just goes around the cookware on gas and never makes it into the pot that, despite the slow warm-up, in the end, electric can be faster.