There's a self-fufliling prophecy there. House wants to betray NCR because he suspects they will stand in his way. NCR wants to stop House because they suspect he will betray them. Part of the issue is that House seems to be operating with the viewpoint that he has to be harsher than he is and also that he mistakes nostalgia for Vegas to be equal to actually beneficial. He forces the White Glove Society to give up cannibalism (good), allows human trafficking psychotic tribals (Bad), drives out the Kings (Bad), Drives out the 21 Vaulters instead of employing them (Bad), and helps build an entirely functional infrastructure (Good). New Vegas was a bunch of empty powerless ruins before House got a hold of it and he's building it into his Rapture-esque Utopia. A place that can actually have a functioning Vault City-esque advanced technology and civilization. In a very real way, House is doing what Caesar claims he's trying to do but is just being a pseudo-Taliban/African warlord. He's building a New Rome with aqueducts (Hoover Dam), roads, and electricity. House's biggest issue is that he really doesn't have someone to reign him in and his god complex is only 90% of being the Smartest Man on Earth (the Courier can be smarter) just like Van Buren's ending where you can be the only person on Earth smarter. A Good Karma Courier gets the approval of House because while he is a Neutral Karma man himself with a dark ruthless side, he would very much like to see things GET BETTER. It's just he assumes that requires him to be cruel and unyielding. I think House will be the best in the long term just because he'll turn Vegas into a New Vault City and that is something that everyone could use in the Wasteland. A place that can bring a lot to NCR when it does join.