Absolutely not, and that's my point. The collapse of the USSR was just another chapter, not the end of the story. If anything it made the left more desperate and made them move up the timeline on the subversive efforts that were ongoing in the US for many years (as you point out). We did win the ‘cold war’ against the USSR, but not against communism.
Communism is fueled primarily by two factors: 1) ego, and 2) hatred/resentment. Marx was an egotistical jerk who hated ‘the system’. He's not unlike any other upper middle class university student who doesn't like what they envision as ‘authority’ and who have the luxury of being ‘intellectuals’ because someone else’s efforts are paying the bills. The best tools against communism are derision/humiliation and an economic war from the pocketbooks of those who would be the targets of ‘cultural revolution’ like the one in China. The first part targets the ego of the ‘progressive’ leaders who embrace ‘the cause’ as a way of elevating their importance in the world. It stokes their hatred/resentment to levels that causes them to implode (think Palin derangement syndrome). The second takes away their power to push their agenda.
The bigger ‘war’ of which you speak, the war against creeping ‘progressivism’ and ideological communism is real, and we have multiple enemies from within in this war. It's going to be a protracted and difficult war, but we will win, because socialism/communism is at its core idiotic.
They will never give it up. The left will continue to fight the war on capitalism until the end of humanity. They fully and 100% believe that communism must occur for human civilization to advance. They consider it superior to capitalism. And they consider communism the final destination in social-economic evolution.
You collapse a communist country, they simply move on to the next world power. You defeat them at the ballot box, they find a way to retool their propaganda (ie: hope and change) and will soon enough end up back in power eventually.
You just cant get rid of these people.
There has been and always will be wars between the ‘haves’ and the ‘have nots’, only the uniforms change.