I’m definitely picking up what you’re putting down, but this part strikes me as a weak point in your argument:
“Muslims and Progressives find ways to make peace with each other because they both recognize their shared and inherited trait of being against Christ.”
Can you give an example? Progressives use Muslims as a tool against Christ, e.g., equating them with Christians in their pantheon of diversity, reducing all member religions to hollow aesthetic specimens in Mammon’s Hall of Tolerance, but Muslims are not allies in that endeavor. Muslims leverage the weaknesses of Progressives to advance their own agenda, e.g., hiding behind freedom of speech to attack the liberal foundations of free speech.
If you’re making a “the enemy of my enemy is my friend” argument, I can roll with that, but it sounds like you’re making a more substantive claim by putting anti-Christ, rather than “anti-non-Progressives” and “anti-non-Muslims,” at the center of their peace. Christ is in the end, of course, the center of everything, but if there were a stubbornly orthodox Hindu presence in the fray, I think they would draw the similar ire from these forces.
Progressives are against God as a creator, but especially as ruler. Islam is explicitly and implicitly against Christ. Since Christ is God, that puts both of them in the same spiritual (and therefore truly) family tree. Judaism is also a relative.
What about Hindus? Well, it is not anti-Christian and it’s not of the same family as Progressivism and Islam. For one thing, the latter two are both post-Christian heresies. Hindu is pre-Christian. A Hindu would have the same worldview a Christian has of the reality of spirits, of man’s place between the spiritual and the beasts, etc. They know different facts, but they observe them in similar manners. So there can be communication between a Hindu and a Christian that cannot happen between Progressives and Christians, or Muslims and Christians. This is because Hindus don’t believe in sola material. (I made that up.) In Hinduism, via reincarnation and other magics, there is a working out of divine plans; plans not of men.
Perhaps most importantly, Progressivism and Islam came out of Christian peoples like Satan came out of Heaven. They are related and their shared ethnicity of a specific anti-Christianity shows. In 2 Cor. 11 Paul wrote:
12 And what I am doing I will continue to do, in order to undermine the claim of those who would like to claim that in their boasted mission they work on the same terms as we do. 13 For such men are false apostles, deceitful workmen, disguising themselves as apostles of Christ. 14 And no wonder, for even Satan disguises himself as an angel of light. 15 So it is no surprise if his servants, also, disguise themselves as servants of righteousness. Their end will correspond to their deeds.
Progressivism and Islam at their best (by which I mean when they seem pleasing; such as in a well-run socialist country or a peaceful and prosperous Islamic country) are two of those movements of Satanic servants who are disguised as angels of light. They claim to be peaceful, concerned about the poor, just, and so-on-and-so-forth just as Christians do. Islam claims Jesus to be a prophet and Progressives claim he was a moral teacher. But these are crucial lies of a mere-ity of Jesus. It’s an echo of the serpent in the Garden. The serpent asks “Did God really say…?” It doesn’t question God’s existence, or even really His authority. Instead it provokes doubt in God’s Word; which St. John tells us is Jesus, and encourages humans to find their own way to God’s likeness. In another instance, Satan shows up in St. Peter
21 From that time Jesus began to show his disciples that he must go to Jerusalem and suffer many things from the elders and chief priests and scribes, and be killed, and on the third day be raised. 22 And Peter took him aside and began to rebuke him, saying, “Far be it from you, Lord! This shall never happen to you.” 23 But he turned and said to Peter, “Get behind me, Satan! You are a hindrance to me. For you are not setting your mind on the things of God, but on the things of man.”
Talk about your angel of light!
This enlightenment shows in Islam and Progressivism by their united focus on the material. It is the duty of Muslims to physically bring about the Caliphate of Allah. It is the duty of Progressives to progress towards an utopian society. Same thing: God’s plans are guidelines and theoretical, but man’s plans get things done, man! And, I think it is telling that Progressives and Muslims have warred mightily against Hindus.
Things that We have Heard and Known 
But they haven’t warred against Taoism or Buddhism here in the Far East. In fact, Confucianist societies have let the Progressives and Muslims do their own thing. Or perhaps it is the gradual proliferation of them (Progressives and Muslims) in the Western societies that have resulted in such jarring effects?
Where Muslims are a majority in this part of the world, a “secular” Government such as mine has been extremely careful in not giving way to the Progressives in terms of legislation (e.g., sex between mutually consenting adult men). This is in spite of the clamour, support and pressure from the Progressives.
@CoRP
I’m not sure that’s true. Haven’t there been several East-Asian countries which have become at least heavily Muslim?
Not really, unless it’s Southeast Asian countries which were converted by Arab merchants. East Asia is mostly Confucianist and Buddhist.