It's up to ~

For me, it's a no.  "It's up to..." implies some active control over the outcome by the participant.  In all your examples, I would say "It depends on..."

Thank you guys. What you are saying makes sense and it convinced me too.

Then would you mind elaborating following sentences I have found on the internet?

It's Up to the Anti-War Movement to Restrain the Thirst for More Revenge~

It's up to it's old tricks again.
[link]

Is the expression misused on these sentences as well? Or, are these sentences completely different from my examples by nature?

Thank you Barbara.
So I guess it's an issue of where you draw a line regarding whether or not enough human element is implemented.

It sounds a little bit too complicated for me to determine that and use the expression with confidence though.
As in my last example of the first set of sentences, "the nature of the sentence" is obviously determined by a person who use it. So what's human enough and what's not? Obviously I am too clueless to tell.

Well, I guess it doesn't hurt too much since I usually use "depend on" in the situations above anyway.

BTW, thanks for correcting my careless mistake.
I suppose it isn't convincing when I say "I hardly ever make that particular mistake.", is it?

Sashasaki, and Barbara --

I agree that in "it's up to the Anti-war movement to ....." it refers to the people in the anti-war movement, and it's "up to them" -- it's their responsibility, or their prerogative, to do whatever the rest of the sentence talks about.

However---

I think in "It's up to its old tricks," we have a completely different meaning of "up to" !    The original discussion was about the phrase "it's up to (someone)"  In that usage, the subject is a vague "it."   Here, the idiom is "to be up to something" -- which means to be acting in a particular way.  Usually the subject here would be a person, rather than "it," but  you could be talking about a dog, or an organization, and use "it."  Here are some example of this usage:

He's up to something = he has ulterior motives; he's acting suspiciously, he's planning something in secret. 

My husband has been much nicer than usual -- bringing me flowers, doing the dishes -- he's up to something, but I don't know what.

 He's up to his old tricks = he has reverted to earlier patterns of behavior.

The dog was sick for a while, but now he's feeling better, and he's up to his old tricks -- he chewed up all my shoes while I was at work.

For a while my computer was working fine, but now it's up to its old tricks -- it keeps deleting files for no reason. (you could also say "back to its old tricks."

Barbara, don't  you agree?