Hmm,
Why are you concerned about amplifiers and how close they can output to 0V and Vcc.
If you are going to charge a cell, 1.25V Nicad by the looks of it, why does the amplifier need to go to 0V?
If your charge voltage is going to be near your circuit Vcc, then increase the Vcc on the amplifier.
I looked back over more than 23 pages of your posts and you seem to have a puzzling idea of electrical theory and in one of my reply's I mentioned you are over thinking every aspect of your projects.
I will ask again, what are you charging, why so much current, and have you built your electric car yet.
Have you started to experiment in real life, not just your head.
Can you edit your diagram and add some in names and voltages.
C1 and R6 has me worried as to what they do.
Tom..... :o :o :o