If anyone really wants 'fetal rights' then they need to come up with an artificial uterus, because as long as a fetus is in the body of an adult individual it's 'rights' will always be subordinate to the rights of the individual in whom it is gestating. That's just the way biology works until our technology advances a bit more, which it will if we don't all war each other back to the stone age.
Personally I don't believe a freshly fertilized human embryo is the equivalent of an adult human or even a newborn, there's no supernatural event associated with conception, there is the entire process of implantation to get through, and even then there is a month before organogenesis starts around week 5 so there isn't even a 'beating heart' or any semblance of neural tissue. Of course the early embryo is biologically alive, and assuming it has a normal chromosomal complement it is genetically Homo sapiens, but I don't see where that qualifies it as 'human' in the same way as a newborn or (given our technological advancement in neonatal medicine) a late term fetus is. All this emotional appeal about abortion sort of fails for me since nature could care less for humans of any age (mortality sucks) and the frequency of natural miscarriage is by no means negligible (somewhere around 20% to 33% of pregnancies end in miscarriage (god hates the unborn obviously /sarc), often due to early embryonic lethal genetic combinations), so the case for early abortion, especially pre-implantation is quite simple for me to understand as there is nothing about the fetus that is capable of sensation.
It is also true that our medical technology is allowing for the survival of fetuses and newborns who, just a few decades ago, would have died. There is of course absolutely nothing wrong with this, I am all for advances in neonatal medicine so long as the goal is the survival and health of the neonate. However, I personally do not think heroic efforts should be made to allow for genetically abnormal individuals (google teratology for examples) who have no chance of developing into healthy, independent adults to live if they would otherwise naturally die, but I am not interested in imposing my preferences on anyone else.
Eventually medical technology will advance to the point where genetic testing of early embryos is possible, indeed it's already possible to do in vitro fertilization and select for chromosomal abnormalities. This raises large numbers of questions as to the rights of parents to select the genetics of their offspring. So the whole issue of human pregnancy and abortion and whatnot will only get more complicated.
But until there is an artificial womb it will always be up to the woman whether or not to continue a pregnancy, to think otherwise is simply to ignore biological reality.
Oh, and to those who think my lack of concern for early human embryos is evil, please read this.
http://www.americanpregnancy.org/multiples/vanishingtwin.html
Vanishing twin syndrome was first recognized in 1945. Vanishing twin syndrome is when one of a set of twin/multiple fetuses disappears in the uterus during pregnancy. This is the result of a miscarriage of one twin/multiple. The fetal tissue is absorbed by the other twin/multiple, placenta or the mother. This gives the appearance of a “vanishing twin”.
Human pregnancy and embryonic development is a product of human evolution, there is nothing sacred about it. Strange and creepy things happen, and after watching all three of my children being born personally I would be much happier if we could somehow bring back the egg, but I'm just weird and I recognize this. How am I to understand why my wife was so happy being pregnant and giving birth? I'm just a guy.