Film and Video are art only if they are produced in artistic manner. Otherwise, they are not art if they are produced just for bad matters.

I think of films like a series of photographs or a piece of art. Each scene has to be set up in the same way a photograph or piece of design: Grid rule, golden section, colours, models, etc, etc

Absolutely

Yes, but really depends on how you shoot it. If you shoot it professionally, you can call it art, but if you shoot it, for example just for self narcissism, and things like that and don't take it based on how a good video/film to be, I don't dare to say it's art.

Video is art all the way

If it is done the right way, I think it is. But if it's just "I slapped together a video of my cat doing nothing" maybe not so much. Putting together a true piece of art in film/video format takes a lot of hard work and to be quite honest, it's not something that I'm all that good at, but knowing that makes me appreciate it that much more!

Well, think of it like this:
"A picture is worth a thousand words"
By logic, a video is worth a thousand pictures (more than that really).
So, it can be concluded that a video is worth millions, possibly billions of words.

There was a time when I didn't, but when I actually went and tried to create a short-film(fictional), I realized how hard it is and how much passion and vision it can take to get it right. So yeah. I do.

Definitely.