If a baby/fetus has a mind, in my books it should be accorded rights - more and more so as it develops. I fail to see, moreover, where the dividing line ought to be in your view. Not to slippery-slope you but - why stop at infants?

The standard answer is that at that point there is no longer a conflict with the rights of the women whose body the infant was hooked into. We don't generally require that people give up their bodily autonomy to support the life of others.