My dream of KHL would have these teams. (not realistic, especially the eastern, it's just a dream)
North European conference 11 teams
Stockholm x2 - new
Helsinki x2 - 1 new
Oslo - new
St. Peterburg - current
Moscow x2 - current
Minsk - current
Riga - current
Yaroslavl - current
South European conference 8 teams
Bern x2 - new
Berlin x2 - new
Sochi - new
Zagreb - current
Donetsk - current
Bratislava - current
Central Russian conference 8 teams
Nizhny Novgorod - current
Kazan - current
Magnitogorsk - current
Chelyabinsk - current
Khanty‑Mansiysk - current
Nizhnekamsk - current
Yekaterinburg - current
Ufa - current
East Asian conference 10 teams
Haerbin, Beijing or Shanghai - new
Tokyo - new
Seoul - new
Astana x2 - 1 new
Novokuznetsk - current
Novosibirsk - current
Omsk - current
Vladivostok - current
Khabarovsk - current
As you can see the teams are not equal, because I found it too difficult to arrange them properly. But I suppose you will get my point of 4 conferences instead of 2, and each with 10 teams. So a league of 40 teams.
One conference in the far east with 1 team in each of China, Japan and South Korea. Then 2 teams in Kazakhstan and then with 5 Russian teams. Total 10 teams.
One central conference with only Russian teams. Magnitogorsk, Ufa, Kazan etc. Total 10 teams.
One kind of southern Euro-Russian conference with teams from Switzerland, Germany, Croatia, Ukraine, Slovakia, Czech Republic and Russia. Total 10 teams.
And finally one northern Euro-Russian conference with teams from Norway, Sweden, Finland, Russia, Belorus, Latvia or similar. Total 10 teams.