I really think there is a possibility between "keep everyone alive against their will no matter how much they suffer" and "Nazi death camps" and other forced euthanization. 

https://en.wikipedia.org/wiki/Dax_Cowart
Here is an interesting case of a guy who suffered horrible burns on practically his entire body.  He thought he would die for sure and asked the first person who found him to kill him or give him a gun to kill himself with; the man refused, and rightfully so IMO—an emotional time like that is not a great place for a life-or-death decision.  But his months-long treatment was extremely painful.  They scrubbed his raw flesh and gave him chemical baths (to stave off infection) on an almost daily basis and he asked for death all throughout this time.  He attempted suicide and was stopped.  He wanted to get a lawyer to sue the hospital to stop treatment (which would surely have resulted in his death) and was blocked from this.  (I am unclear on whether he was just denied access or family assisted hospital in interfering.)  He survived, and recovered enough to live on his own although he is blind, hard of hearing, and has little feeling anywhere but the bottom of his feet.  He maintains that he should have been allowed to die and that if he was in the same situation again, knowing the treatment was not futile, he would still choose to die, even though he has managed to live for decades after the accident. 

Obviously should be legal everywhere.

I find it odd that when we are fully able, we can, if we so wish, take our own life. Yet for some reason when we aren't able to do so, and may need it, you are stopped by the law.

I guess many might feel that someone might not be able to make a truely right and free choice over whether they live or die but in most cases where it's needed, the person makes the choice before they become worse in health.

How is it humane to let a man suffer in life instead of be at peace in death?

When you expect open minds, you don't expect them to come half open. You want the whole thing. I have an open mind, so if I say yes to one progressive cause, odds are I will say yes to all of them... 

I believe deeply in individual liberalism.
That is... Individual rights and freedoms, including the right to take your own life.

What I don't believe is when someone is suffering irreversibly and with immense pain or poor quality of life... That someone should deny them that right.

With that said, I do look after the sick, elderly, frail and disabled, thus my view may be skewed on this as I see it daily...
The only exceptions that should be made is when someone isn't an adult or may not have complete control over their faculties, then it would fall to a parent, guardian, significant other, family, carer etc' in conjunction with a specialist in private with the patient.

Very true, similar point made in another thread I had commented on about how Canada had pulled out in the fight against ISIS. When in reality we did pull out the three fighter jets, but tripled the number of personnel commited to train, advise and assist on the ground. Accurate news can be hard to find sometimes. 

I believe that euthanasia should be an option. But I also think it should be very heavily regulated.