I think you're crazy, but I think I already told you that in person.
I drove with no heat for an entire winter, and it sucked. I say going without AC is easily doable- the only really bad time is when it rains and the windows fog up. But no heat is just crummy. I remember driving out to a meet one night last winter, temperature was down in the 40's. I got so cold I could barely shift the car, shivering and miserable. I can see where you're coming from in weight reduction and since you have another car... I would probably rip it out if I was going to totally gut my car, but not until that point.