You're lucky, Russia is one of the less-exploited regions...buuut that also means you'll probably get hundreds of millions of refugees in a couple decades :)

What if, we just eat less meat?

The problem is unless we go down to what many (healthy) traditional societies ate, which is only 1-3% of their calories from meat/animal-products (when stationary and in civilization), then things would still be horrible environmentally.
It'd certainly help, but any less than that and things aren't going to improve all too much. There's no need for it at all though, so why eat it at all?

I've spent lots of time just eating vegetables. I eat enormous amounts of them, then I'm hungry in 2 hours, I eat enormous amounts of vegetables again. And so on and on.

That's because of the density of the food. If you ate more fatty foods (or less juicy foods) you'd be fine.
Because your body is used to ultra-dense sources from animals (which have been concentrated) such as milk/cheese/eggs/meat your stomach capacity is lower...plus those vegetables might have simply been cooked too healthily or more-so you didn't have enough of the main part of the meal, the start (most likely).
Vegetables have super low calories, that's why in every culture the base of the meal is always a starch like potatoes, rice, bread, etc, with vegetables, legumes (beans), or meat on the side/on top.

I was the same way for the first month I stopped eating meat/dairy/etc, then I realized I was simply not eating enough and I begun gorging myself on huge bowls of spaghetti every night, or a huge bowl of beans and another bowl of rice with many many tortillas, etc.
Then I was fine :)
I usually only eat twice a day now, just a small breakfast then I'll have a big dinner sometime later in the day, probably only spend about 30minutes eating all day if even that, but I am a quick eater.