As for the other managers being mentioned...
Benitez has done an incredible job at Newcastle, and he's a very successful manager. But his style of play is very conservative, he makes bizarre substitutions (which Geordies also complain about despite how much they love him) and, let's be honest, his stock has fallen since his horror show at Inter Milan. He salvaged it a bit when he was interim Chelsea boss and at Napoli, but I am sure his scars from the time at Madrid won't be forgotten. He's not exactly charismatic, either.
As already mentioned, Conte spent a fortune in his first season to help him win the league. Funnily enough, when Chelsea's board decided not to support him in the transfer market for the players he wanted, he threw a strop, moaned about it incessantly to the media and acted like a martyr, which gradually made Chelsea fans lose faith in him, as well as the Chelsea board. He is also a massive hothead who can't take it when he doesn't get his own way. Let's say for argument's sake Poch goes and Levy approaches Conte. Why would he join when the issues surrounding the transfer budget he had at Chelsea will be exacerbated further at Spurs?
I don't know if Poch was given a reasonable transfer budget or not last Summer, but the one thing Poch didn't do was have a massive tantrum. He just got on with the job in spite of these restrictions.
You're third in the league, reached the semi-finals of a domestic cup competition and you're currently into the quarter-finals of the Champions League with NO proper investment in the past year. What exactly are you expecting him to do?
If you need a Gooner to explain this to you, DGC, then I don't really know if you can be reasoned with.