OK, go ahead and explain the difference to me. I always like to learn new knowledge
1st, just because someone assigns the labels, it does not mean the are accurate or even acceptable to the people in question. for our purposes, i'll accept them as you have used them.
in this country conservatives are generally those who believe in the constitutional limits on the federal government. they believe that less taxation, regulation, and interference, from the feds leads to maximum freedom for the states and the people. a subset of political conservatives are the social conservatives who have a more traditional view on the structure of society.
liberals tend to like bigger government, more regulation, and they are more apt to be globalist, wishing to do things through the UN, or international agreements. by default, because bigger government costs more, they are usually in favor of higher taxes as a method of funding...especially social welfare programs.
note i did not say republican or democrat. there are plenty of big government, big spending, republicans.
the Muslim brotherhood is Islamaist. if you don't know what an Islamaist is, look it up. they have to goal of creating a Muslim government in the Arab and Persian world, under Sharia law. this is often referred to as the caliphate. it would be applied to all Muslim countries.
i had the privilege to hear a number of speakers, many Muslim, a few years ago. the topic was the rise of the Islamaists and their goals. the Islamists have only two goals. the first is the establishment of the new caliphate. the second is the destruction of Israel. at the extremes you have those in Iran who believe that this is what the hidden imam will rule, and that it is their calling to create the conditions at any expense. at the less extreme, you have the Muslim Brotherhood who are satisfied with doing whatever it takes to take over the Muslim countries. Ayman al-Zawahiri, now the leader of AQ, was a leader in the Egyptian Jihad organization, the Egyptian Brotherhood, and the Muslim Brotherhood. the groups have been fluid in their membership and various groups have existed at the same time, but members can be tracked from one group though another over the years.
the Muslim Brotherhoods creed: "God is our objective; the Quran is our constitution, the Prophet is our leader; Jihad is our way; and death for the sake of God is the highest of our aspirations."
during the Q&A one of the Arab speakers was asked how many Muslims in the world are radicalized. radicalized = willing to do things like strap on bombs, crash planes, etc. that speaker put the number as high as 15% with double that number willing to providing moral and material support.
if you accept the number 1.3 billion as the number of Muslims in the world, that would be 195 million willing to martyr themselves for the cause. even if he was way off on his numbers, or 1/2 got cold feet, that's still a lot of folks willing to die. why? in Islam, there is no assurance of acceptance to "heaven" EXCEPT martyrdom. everyone else finds out if they made it after they die and their works and life are evaluated. if you are a true believer and you are influenced by strong religious leaders, why not take the sure way?
so....it's not accurate to compare what some call "conservative" in Egypt, to what we call conservative here. now....if you want to take about places like Thailand.....there's a whole 'nother can of worms. ;)