Exactly. For example, in BOG, Vegeta only cares since it really disrupts his life. Even the thing with Bulma, it's not that he cares for her safety, it's more of an ego thing; in other words, can he be more of a man than the provoker. If Beerus offered something Vegeta just couldn't refuse, and it was evil, mean, dirty, and nasty, and Vegeta could do it knowing that he could stop the likes of Goku and friends, he WOULD DO IT. No question about it.
If Goku weren't around, and he had such an opportunity, he'd take it. It didn't happen in the time of peace since nothing was offered to him, thus, it was more rewarding for him to stay with Bulma where he is clothed, fed, has a place to train etc. If he was offered something like what Majin magic gave him, a new level of power for example but had to murder everyone on earth to attain it, he would take it and leave. He stayed with Freeza because it benefitted him, I think Vegeta even says that, and when given the chance, he took the high road (and believed he was a SSJ strong enough to kill Freeza and wander the universe as the most powerful being; JUST AS HE STATED IN THE SAIYAN ARC). Vegeta has never changed that much, and is the same POS he was from the start to the end.
You say it was an ego man thing for Vegeta that he fought against Beerus, but wasn't he acting like a fool and disgracing himself earlier in order to protect the Earth? Also what exactly makes you say he would do any of the things you've stated he would? I've already given my whole majin explanation and he's not done nor shown any tendency of going back to the whole do whatever just benefits me.
That's not it, just like with Cell and Freeza, once he is overpowered, he just gives up (and maybe has one last act of defiance, such as the final flash or his huge barrage against Freeza).
Then what exactly was the point of his little speech at the end. He knew he was going to die, but he still did his best to destroy Majin Boo in order to save his family who would he would have no use for after death. Why not go for some random other attack? He explicitly blew himself because he wanted to completely annihilate Majin Boo off the face of the earth. When he battled against Freeza and knew he was no match, he literally started crying and gave up. Later on in the battle against Cell he apologized to Gohan, which is what he typically would never do given his arrogance. But you see that he did change a bit in that he distracted Cell with a ki blast in order as a last ditch effort to do something. (By the way I'm not saying this makes him necessarily good, but I am trying to show that has changed to some degree) When battling against Kid Boo he accepts that Goku is better than him and serves as a distraction using every ounce of his energy to distract Kid Boo from the Spirit Bomb to the point where he couldn't move any more. Later on, he insists that Goku throw the Spirit Bomb at Kid Boo even with him in the blast radius in order to save the universe. In Battle of Gods he becomes angry and despite knowing he's no match for Beerus does everything he can to stop him even going so far as to practically plead to him to stop.
Nothing indicates he wouldn't kill for pleasure. Once he benefits from it, he'd do it. Earth is his home, he has nowhere to go, and all the best fights happen there. Why would he destroy that opportunity? But when everything went to hell in the Buu arc, he was totally fine with throwing Earth away since it wasn't needed for him in that instance. And he killed people to prove that point.
I've mentioned this before. This was a Vegeta in self-denial, who couldn't accept that he had changed and so he allowed himself to fall under Babidi's spell to unlock the darkness inside of him that he had lost.
I agree, that was awful. I cringed and shook my head in theatres when I saw that. It is also very non-Dragonball. The holy water, the room of spirit and time, heaven, King Kai, gravity training, that is cool! A really cheesy, anime stereotype ritual, that's not cool. That's what non-anime fans point to why they think anime is dumb haha. I hated that scene.
C'mon it wasn't that bad! Yuk yuk yuk!
But Dragon Ball has always had its fair share of super ridiculous power ups. The Super God water, the Zenkai boost, heck Gohan's been powered up like three times already! Hey at least it wasn't the power of friendship!
Mass murder, selfishness, sociopathic tendencies, no moral outlook, non-sympathetic. Vegeta is all of those. Look how he treated Gohan for not staying strong; it's nearly identical to how Vegeta was getting annoyed at Nappa looking weak in front of the enemy because it makes himself, Vegeta, look bad.
Honestly I feel like these are too strong terms to be representing Vegeta. He didn't really say anything to Gohan until he purposely wanted to get Babidi's attention. Vegeta just saw him as a slacker which of course he didn't like but that was really the extent of it. He never punched or kicked Gohan or anything after Cell anyways. Even when Goku was dead, we never see Vegeta attempting to fight against Gohan. I honestly feel, based on your definition, that evil is too strong a word for Vegeta. Sure he's selfish, but evil especially from what we've seen of him currently? I'd say not. He hasn't murdered any people in a while excluding the Majin incident. He's selfish, but then again so is Goku. His morals... Hmmm... Well honestly, I can't say I've ever had the chance to ever peer into the mind of Vegeta, but he clearly does have a sense of right and wrong. As for being non-sympathetic, the guy isn't really the type to express himself. Given his character of being gruff and impersonal I think its really more a certain character trait than an indication of evil for his case.
. Honestly it worked for Piccolo Daimao and I wasn't a fan of Boo's origin either(Both his new one and his old one). Hell I wasn't a fan of the Boo Arc which is funny because Goten is in that arc. Beerus personality was also imo quite boring too. He acted based of gag emotions something we already saw with Majin Boo and Broly quite frankly. Whis is tolerable. Beerus however 
. Just a waste of character. I found BoG to be a waste of a movie as well. The trailers were mis-leading and the gags aren't even funny. Not at all. A-lot of characters didn't a lot of dialog. Most of it went to Trunks, Goku, Vegeta, Beerus, and Bulma. 
