While the 54-year-old manager at Old Trafford has a string of titles to his name, including Champions League wins with Porto and Inter, and a string of domestic titles at every club he has been with, the Ibrox boss eight years his junior has enjoyed only modest success in Mexico with Santos Laguna.
Nevertheless, Caixinha seems to fancy himself as a new Mourinho.
“I always think that when I'm working at a club my players are the best, my squad is the best and my club is the best,” he mused in August to the media, despite Rangers having a half-built squad that had lagged champions Celtic by an astonishing 39 points in the league campaign that finished less than three months earlier.
“I need to represent it like that and I need to spread that feeling from bottom to top and top to bottom. If I don't think like that representing Rangers today then I'm a guy just sitting in my chair letting time pass me by.”
It was Mourinho-esque thinking from the manager, who has so far failed to show the same tactical acumen as his compatriot since moving to Scotland. Already this season, his side trail Celtic by five marks after six games and even look short of the quality the likes of Aberdeen post.
Of course, in another play straight out of the Mourinho handbook, it is never his fault.
Last week, he criticised opposing teams for offering too “aggressive” an approach against Rangers, which Celtic will see as an open invitation to get stuck in during Saturday’s Old Firm derby, historically one of the most intense and fraught in the whole of football.
Given that the Ibrox club needed Partick Thistle to be reduced to 10 men against them before rallying to secure a 2-2 draw away from home last Friday night, then required extra time to see off the same opponents on Tuesday in a League Cup encounter, it does not bode well for a match against rivals invincible domestically in 56 matches.
Among Celtic’s successes was a 5-1 win upon their last visit to Ibrox, their biggest away triumph in the 116-year history of Rangers’ home.
After that chastening defeat, he said: “It is possible to bridge the gap and we need to do it. That's what everyone is working hard towards.”
Despite rebuilding the squad in the summer, there is little to suggest that Rangers will be able to compete with their Glasgow neighbours this season. After crashing out of the Europa League to Luxembourg outfit Progres Niederkorn – a side that had never previously won a continental match, let alone tie – the squad was strengthened, but not sufficiently.
For every right move Caixinha has made in the transfer market, signing Alfredo Morelos or Graham Dorrans for example, he seems to have made a misstep. After pushing Michael O’Halloran out of the door to St Johnstone, the young midfielder already has five goals for the season, while the jury remains firmly out on a number of other players.
“What I need to tell you, and it’s a Portuguese saying, ‘the dogs bark and the caravan keeps going’. That means that we are focused in our work. We are all together in the same direction,” Caixinha argued last month.
“To those who say we don't deserve it, in my country we say: 'The dogs bark and the caravan goes by,'” he said.
Criticism, in other words, is for other people.
Mourinho has already discovered no-one is invincible, and should Rangers continue in their current manner, Caixinha will soon have that in common with his compatriot, too.