Is it rational to fear ISIS & Al Quaida? So why does the press call it Islamophobia?

Phobia implies irrational fear. So no, Islamaphobia is not justified because a small subset follow Islam.

Skeptical suspicion and analytic consideration leading to heuristic rapid assessments until disproven in order to reduce lethal surprise? That's justified.

It is interesting from a psychological perspective how Western culture loves to come to the defense of a victim. I think this goes to a narrative to cast doubt on those who are supporting illicit and threat networks to use the term of a phobia which also means that the person who is making accusations is then racist or a bigot.

CAIR is one of those organizations that have ties to illicit and threat networks that uses the term Islamaphobia. There was the case of the two Florida students who were traveling near a military installation in South Carolina and were stopped for speeding. When the officer approached the car he noticed that they acted suspicious hiding a laptop and some other behavior. When he looked in the trunk, he saw pipe bombs and explosives. The explosives were blown up in place and the story that CAIR spun was that these Egyptian college students were traveling the coast to shoot off fireworks and that the cops were Islamaphobic. CAIR held a number of press conferences and the FBI analysis showed that the items in the trunk were explosives and not fireworks. The two had traveled off of 95 by 40 miles because they were looking for cheap gas and were near a military installation known to hold HVI.

http://www.investigativeproject.org/426/indicted-usf-student-has-terror-past-in#

I work in Saudi Arabia, many of their forces are on the border of Iraq and Yemen and they are building a fence on the Iraq border...so if these Muslim countries like UAE, Jordan and Saudi Arabia are worried about these extremism I say that it is a legitimate threat and not Islamophobia 

I don't think its irrational at all. The evidence is everywhere pointing to male Muslim extremist in their continuing thirst for blood and death. It's always been there since I can remember. It's irrational to discount it as a phobia when it is fact. Not only is it PC run Amok but it's a Liberal self loathing to the point that they would see us all subjugated because at some point in their pathetic bleeding heart lives someone teased them for being fat or ugly or didn't pick them for kick ball in the fourth grade. The media has an agenda it seems and it's not in the interest of Americans or their national security.

It all started with social media after 9/11, every time you hear news about " we can't do that because we don't want to offend someone " It is about the Muslims, schools, malls, businesses dont want to offend Islam. Never mind that if you are gay, Christian or a woman they will kill you in 2 second if you go to their countries lke Iraq, Iran, Afghanistan or Pakistan. How come its ok to have Halloween costume of the pope, but if you try to dress as muhammad th FBI and Obama dept of justice will investigate as a hate crime

I affirm that the bigoted reaction of many in the west toward Muslims originates out of ignorance and mis-information created by parties with ulterior motives. For instance, when the United States, England, France, Canada, and many other countries allied with them were fighting the Germany during WWII there was no phobia attached to the religion of the Axis Powers. The judging of individuals or groups which number in the hundreds of millions by the acts of a few (what ever there motivation) should not be accepted and or condoned in the United States, nor in any country that values freedom. To condone such actions promoting or allowing things like a Muhammad cartoon contest would surely violate the alleged principles upon which the United States was founded.

There is no requirement to protect speech that is not offensive. The First Amendment to the U.S. Constitution states:

"Congress shall make no law respecting an establishment of religion, or prohibiting the free exercise thereof; or abridging the freedom of speech, or of the press; or the right of the people peaceably to assemble, and to petition the Government for a redress of grievances."

As Judge Andrew Nepolitano once stated the Constitution was established to protect the speech "we fear, hate and loathe," because "the speech we like doesn't need protection."

http://www.washingtontimes.com/news/2015/jun/24/andrew-napolitano-protecting-hatred-preserves-free/?page=all

There is a lot of mutual hate.