You really believe that?
I can't see it myself, there's way too much competition now for top four, City,Liverpool, Spurs, United, Arsenal, Chelsea, West Ham will be in a good position moving forward.
They will have to change 95% of their whole team in two seasons to get top four in three years, and hope that three of the current top seven drop off considerably. That's a huge ask, City started from a much better position than Newcastle.
That's 6 transfer windows; there'll obviously be a mass cull this summer, then begins the process of bringing players in. If they're serious about this enterprise and want to get it done quickly, they'll blow everyone out of the water for talent and pay clubs a grossly inflated fee, which they'll gladly accept. Once they get their 'Robinho', the floodgates for other good to great players will open and then there will be no stopping them. FFP is the only restriction, but that doesn't actually do anything.
City had to tread carefully and at least look like they were following the rules, and even they had a massive turnover of players; no such thing stands in the way of Newcastle, plus, players know that these state/oil clubs mean business now and the blueprint making their rise to the top is set and inevitable, which means less hesitation in joining a "project".
Newcastle are surely prudent enough to woo younger players also, ones who haven't gotten their hands on proper, top level wages yet. No proper club is going to match their wages for as yet unproven, potentially elite talent because the risk-reward is excessive. They will have their pick of that area of the market place.
In the 50's, some of the best players of that time found themselves all the way to Columbia because the pay was beyond their wildest imagination; smart agents are going to make a killing bringing players outside of what Newcastle's remit is at any one time into the club - they will hop brackets of player City had to initially tolerate. The whole process will be expedited.
I don't think the names and standings of the clubs you mentioned mean anything. City are the only ones there who can stave Newcastle off financially; once Newcastle are on the horizon, a player with genuine top tier options is going to use those same clubs to get a financial offer from Newcastle that blows everyone else out of the water. The Saudi's don't need to play by any rules and can easily juggernaut their way to the top expeditiously. Once they get a top manager in, it'll just cascade.
Clubs should be looking to shaft them now and hope they get relegated to set them back a few years.