-The Soviet Union became a capitalist country in 1935 (and a specifically imperialist country in 1939), not 1956.
-Partially as a result of that, Mao significantly underestimated the direness of the situation in the mid-'60s and hence prescribed an inadequate solution.
-The Cultural Revolution should have been continued to its logical conclusion: the complete destruction and replacement of the old state and the old party with a new union of socialist communes and a whole new communist party, with the Cultural Revolution Group, the Red Guards, and the Shanghai Commune being the embryos thereof.
-The short-lived Shanghai Commune is what I consider an approximate model of socialism for the future.
-Socialist parliaments, secondary as they must always be, should be divided into two chambers: one featuring open elections and the other featuring contested elections between party members (who must be free to run on their individual political positions). The second chamber of which I speak may also allow general members of its revolutionary united front to contest perhaps one-third of the seats. Ultimately, once communism is entered into, this second chamber can be abolished. Its role must also progressively diminish over the course of the world revolution.
-Socialist countries shouldn't have and shouldn't seek diplomatic relations with capitalist countries, period.
-No socialist country should feature a national constitution. National constitutions should be understand as bourgeois implements, designed to perpetuate a certain status quo, whereas socialism by contrast must always be revolutionary in nature.
-Socialist states encompassing multiple nations must take the form of a confederation, not that of a federal system.
-Traditional forms of democratic centralism must be abolished. All command structures within communist parties must be abolished and organized factions recognized and tolerated. Only a party organized on this foundation can provide the atmosphere of open debate necessary to get at the truth of things and make the party's politics (both internally and externally) truly democratic in nature.
-Correct revolutionary tactics entail communists playing a genuinely vanguard role, taking part in and leading militant resistance, not just being "good protesters" and pamphleteers. In countries like the USA, our propaganda/political work should also initially be disproportionately online, where it can have a broader social impact.
-Correct revolutionary strategy entails establishing real base areas (no, bookstores don't count as "base areas") more or less immediately, not at some vague point in the distant future. Also, some variation of people's war (whether mostly urban or mostly rural) is a correct revolutionary strategy virtually everywhere.
-Third world communists can and should seek to unite with nationalist elements that are in opposition to comprador regimes. (Including yes jihadist nationalists.) Comprador forces can be united with tactically (not strategically, a.k.a. permanently) in the event of...and only in the event of...an outright foreign invasion.
-And more.