In my experience, companies you actually want to work for will turn away the doormats.
I've actually spoken to a number of companies that have openly stated that they would not interview candidates that didn't request an amount greater than a certain dollar threshold (most recent one I can think of was >$160k base, Santa Monica).
This is the "we want skilled, assertive people" ideology taken to its conclusion.
Personally I'm not a hard negotiator (though I'm willing to walk away if my -- generally not super aggressive -- number isn't met), but I tend to move myself into technical leadership positions fairly quickly when joining a new org.
Good! My evenings and weekends are valuable to me and I want to work with people who value my time.
If they self-filter because they're a bad place to work, all the better.