Yes, that is a dream. I cannot imagine this scenario happens in all the details you said, so all leagues participating in it as you described.
On the other hand, I can imagine a few teams from mentioned leagues (&others) to join the KHL or its independent division as said by Chernyshenko recently. I can imagine such a division with 10-12 European clubs who play each other only or with SKA/CSKA and other Russian giants, but no travelling to Siberia/Asia.
You cannot imagine my "big picture", but you can imagine samekind of "big picture" where basicly the only mayor difference would be, that the russians would have big influence on it and at the expence of local federations. You are even bigger dreamer than I am (why would the local federations bend on this one?).
But for speculation sake, let speculate a little. So SHL and Swiss would say no. So Germany, Czechoslovakia area, EBEL area and Finland would go along with this. You say 10-12 teams, so let say that there would be three teams from each place.
European independent Conference (with four division)
Eisbären Berlin
Adler Mannheim
RB München
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Sparta Prague
Slavia Prague
Slovan Bratislava (would be dropped here, because can not cut it in KHL)
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Vienna Capitals
RB Salzburg
HC Bolzano
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Kärpät
TPS
Tappara
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All teams would play against every other four times and 8 times against other teams in own division. -> 4x9 + 8x2 = 52 games. Then in the playoffs first round division winners would play against division second. For those how get to the second round the best in regular season would play against the fourth and second against third. And then winners would go to finals.
And to integrate these teams to KHL, they would no longer participate in CHL tournament but instead to samekind of tournament (let say the name would be KHL Open Cup). So few games against the like of SKA, ZSKA and so on. So with this there would be no need to pump up those teams budget to the same level as KHL teams.
But why would local federations go along with this (when there would propably be strong russian influense)? It would weaken their local leagues and ruin those participating teams, if for some reason russians would deside not to continue funding this mecanism after one or two years (if their long time plan is just to take some of those teams in KHL and throw the others "to the wolfs").
Of course the local federations could go along with this, if russians would accept to just fund it, but not having any other power to the competition. But then again, why would the russians do that? Putin said before that the expenses should go down, not up. This mecanism would propably only cost more money for Moscow, for some years before it could start to make money on the tv and other markets.
Edit. and more so, if many of those teams are doing well at the moment, why would they want to leave their current situation and for situation, where they would be dependent on russian money?