Bolton’s something of an outlier here, but I wouldn’t say that he has them “conspiring against him from the get go.” Rather, they’re looking to see what kind of advantages they can get from him – Greatjon wants command, Manderly wants a mint, Cerwyn and Mormont are interested in marriages, Hornwood wants lands and privileges – because he’s a new commodity.
Mace is a known quantity, and while he’s a bit of a doofus, he has a decent command of feudal politics. Randyll Tarly gets the military commands, his mother is a Redwyne and his sister married the Lord of the Arbor, the Fossoways get a marriage to Garlan and his other sister, he’s married into the Hightowers, and so on and so forth. So he’s got a good constituency behind him. However, I will note that House Fossoway, House Florent, House Willum, House Varner, House Crane, etc.. all abandoned Mace the moment Renly died.