Do Christians not think the world should be run according to their chosen leader (if you consider Jesus a leader)? Do all of the groups listed think everyone else must submit to their way of thinking, or would they just like to get people to think as they do? I'd imagine most Christians believe others should think as they do, at least in some respects.
I think you may be looking at (basically) the same things in a different light when it pertains to your religion and when it pertains to groups you disagree with. I also think you are trying to find similarities in groups that have little in common in order to lump them together when you demonize them, while ignoring anything in Christianity that might be similar as well.
I'm not promoting any of the groups you've mentioned, nor am I denying that each of them has members that are crazy and/or evil bastards.
The difference "should be": Christianity is a choice (those that do not choose to follow the Lord or only go thru the motions will not have the peace of those that feel passionately). In our society Judeo/Christian values are "enforced" to keep the peace (murder, theft, kidnapping, etc). The faith is not enforced. The worship is not enforced (most Christians will tell you that it is impossible to force someone to love the Lord). Yeshua is not our leader. He will be the King and He will be the Judge, but now, He sits at the right hand of His Father waiting for when He comes as the Enforcer.
We try to follow His example. Most people read self-help books or follow the example of someone they admire. That does not make that person their "leader".
The other "groups" require the resources of others to fund their ideals:
liberals/progressives/socialists/communists/islamic extremists/environmentalists all require that those with wealth (or property) have that wealth taken from them (by force if necessary).
Homosexual activists require access to the most vulnerable: your children. They are not interested in spreading their 'beliefs' among adults (the nursing homes are full of captive audiences). They want "your children" to be their sexual play toys with no responsibility to the parents, no responsibility for the destruction of the family, just open access.
In those groups, a relatively large percentage are willing to "sacrifice" (murder) those that will not oblige them (one of Bill Ayers associated groups was okay with eliminating 10% of the population to convince the survivors they should serve, "willingly". Muslim extremists, do I really need to state what they do to keep the "faithful"?
You are right. I do look at these things in a different "Light". I am reading parts of the Bible. I am amazed at how many of the above are described in detail with their plans, and their methods for tricking/deceiving people to turn away from the Lord. If you are interested, start with Proverbs. The "common purse" is socialists/liberals/progressives/communists/etc form of "governence" (subjugation).
At this time in history, with so many Bibles available, I am amazed at how many people choose not to read what is written. They take the word of one of the deceivers for what is written in the Bible without question, without research. The Bible is the original "self-help" Book. It is ridiculous how many people "choose" to ignore the lessons there.