Well the Eskimos still do that - they dump their elderly on a nice little iceberg & float them off into the sunset. I think that's barbaric though, but then I'm not an Eskimo so I wouldn't know.
Well the going into the West bit was initially a request from the Valar - Morgoth was still lurking somewhere on ME so the Valar (gods/angels whatever) wanted the Elves to move to Valinor (the West) so that they would be safe. So some did (Eldar), and some didn't(Sindar). Some of the Eldar (the Noldor, i.e. Galadriel etc.) rebelled and returned to ME to pursue Morgoth, who had stolen their Simarils. They eventually got whupped by Morgoth & his armies, and were rescued from annhilation when the Valar took pity on their plight (that's where Earendil comes in) and sent a huge army to ME to fight & defeat Morgoth. They pardoned the Nordor, stuffed Morgoth into the Timeless Void and invited them back to the West, thus leaving the world for men & Sauron to slug over.
Sort of. That's the Silmarillion in a hundred words, with a lot of battles, treachery, romance, heroes, villians, monsters, prophecies and tragedies left out.
As to where we're going with this, I don't know. I'm trying to point out that the Elves were not as stuck up as they may seem to be in LotR, and they left for a reason. And if they did harbour any animosity towards men, there were valid reasons I guess. :)