Yes, there will be many different opinions on this one.
I eat meat, so saying that it is OK to kill animals to feed me but not to save lives by testing drugs would be hypocritical of me. I am sure that animals reared for food, transported to abattoir and killed there suffer as much (or more) than many animals in labs (depending on the experiment). I do know that farmers, abbattoir operators and scientists have legally imposed reponsibilities to minimise cruelty to animals; I am sure some carry that responsibily through more than others.
Having studied biological sciences at degree and PhD level I can tell you that other mammals (and even other non mammalian animals') biochemistry and physiology is very, very like a human's. The argument that they are 'too different to be useful' is just not valid.
Tissue culture (cells grown in bottles) has meant that a lot of scientific research no longer uses animals. However, there is a legal requirement to test drugs that will be used in humans. As the notion of using untested drugs is not a runner, animal testing will be used until we have either human organs grown in vitro (probably even more ethical problems with that one) or we have a detailed computer model of a human (a long way off).
As for no drugs and no modern medicine, I am not willing to take society in that direction. It is bad enough that enough children are no receiving the measles vaccination that we are risking a measles epidemic which means that some children will end up with their sight reduced or other neuralogical damage. If they found a vaccine for HIV or malaria that would stop millions of Africans dying in the future I will accept animal testing to get it.
As for alternative remedies and homeopathy, I agree that many alternative remedies (e.g. herbal remedies, acupunture) work but nothing will ever convinve me that homeopathy is more than a placebo affect (or in the eyes of beholder if the 'patient' is an animal).
For me a human life is worth more than an animal life. (I think that is pretty obvious as I eat meat!) However, I know that a minority of people do not share that belief.