Not feeling so hot... my dog that I've had since he was 6 weeks old till now, 14 years later, is in intensive care at Blue Pearl. Prognosis terminal, just don't know whether he will recover at all over the next day or two... they say if he doesn't, then we should euthanize him, while at the same time insisting that he can be saved if we pay $3000 to find out exactly what's wrong. They also said that if he recovers in the next day or two, he might live for another month or two. The vet there has me frustrated.
I have a very low estimation of vets, from my experience. When I was young, we had a dog that the vet had diagnosed with distemper--advised he was going to suffer badly and pass away, and thus recommended euthanisation. We opted against it, to just enjoy the time left we had together and to make him comfortable. To our surprise, he recovered and went on to live 10 more years.
We currently have a cat, whom our vet advised had failing kidneys. He also recommended euthanisation to prevent suffering. We also decided to just take him home, instead, and to just be with him for whatever time he had. That was 7 years ago, and he's still around (although quite old now, at 15.)
That's not to say vets cannot be professional, or that they cannot be compassionate. But from my view, they do tend to recommend euthanisation way too often as a first resort. I do understand that in the US, pets are considered property, and thus as a commodity have a certain status, but I think most people tend to view their pets as family members and are taken aback when termination is thrown out so early as a first option.
In regard to your own pet, from my view (personally) I think that we choose to enter relationships with pets in the same way as we do with humans--that is to say, although we will strive to do what we can for someone we love, we must also accept the eventuality of our mortality.
Pets have a finite lifespan, much shorter than humans--one of the innate values of having pets as children is that it teaches us that our lives (and the lives of everything around us) are ephemeral in nature...but also that we should cherish the time we have together and not take it for granted. Again, my view is that while I'll do what I can to make my pets live long and happy and joyful lives, I won't purposefully try to extend their existence beyond what would be a natural lifetime simply out of my own (well-intended, if somewhat selfish) need for them to be in my life. :/ To that end, I'll make sure they are comfortable and happy and warm and loved into their last days, as painful as they might be.
But that's my personal perspective. I know some people are driven to do whatever they possibly can for their pet, because indeed they are a family member, and I can respect that choice.