* Boko Haram behind almost daily killings
* Leader says sect is beyond president's powers
* Video mimics al Qaeda style tapes (Recasts, changes dateline, adds video details)
By Joe Brock
ABUJA, Jan 11 (Reuters) - The leader of Nigerian Islamist sect Boko Haram said recent killings of Christians were justifiable revenge attacks and President Goodluck Jonathan had no power to stop the group's insurgency, in the first video of him posted online.
The 15 minute video of Abubakar Shekau posted on YouTube is similar in style to messages submitted by other Islamist groups like al Qaeda, a sign of the growing influence other jihadist movements are having on the sect.
Boko Haram, whose name translates from the northern Hausa language as "Western education is sinful", has been behind almost daily killings in its home base in the largely Muslim northeast, most recently targeting Christians.
"Christians, everyone knows what they have done to us and Muslims ... we were attacked and we decided to defend ourselves and, because we were on the right path, Allah has made us stronger," Shekau says in Hausa, sat in front of two Kalashnikov rifles and wearing a camouflage bullet proof jacket.
"Jonathan, (you) know full well that this thing is beyond your powers," he added, referring to the president.
Shekau is understood to have taken over control of Boko Haram, which wants sharia law more widely applied across Africa's most populous nation, after the sect's founder Mohammed Yusuf was killed in police custody in 2009 following an uprising in which 700 people were killed.
"Everyone knows how our leader was murdered and everyone knows the way the Muslims were killed," Shekau says, remaining stony faced and calm throughout.
"Catastrophe is caused by unbelief, unrest is unbelief, injustice is unbelief, democracy is unbelief and the constitution is unbelief."
Boko Haram's attacks began small scale - usually drive-by shootings on authority figures or drinking joints in their home town of Maiduguri, in the country's remote northeast corner - but lately have become increasingly sophisticated and ambitious.
In August last year, the sect carried out a suicide car bombing of the United Nations headquarters in the capital Abuja that killed 24 people. On Christmas Day it masterminded coordinated explosions against Christians, including one at a church near Abuja that killed at least 37 people.
The most recent attacks have targeted Christians but dozens of Muslims were killed by the sect last year.
"Anyone who attacks us, we will attack him back even if he is a Muslim. We shall kill anyone who works against Islam, even if he is a Muslim," Shekau said in the online tape.
Gunmen shot dead four people at a petrol station on Wednesday in the northeast Nigerian town of Potiskum, where on Tuesday suspected members of Boko Haram shot dead eight people.
Boko Haram's increasingly violent insurgency has become a major security problem for Jonathan's administration, also facing pressure from nationwide strikes and protests against fuel price increases.
"Four people were shot dead this afternoon but I cannot confirm whether the attackers were Boko Haram," said Tanko Lawal, police commander in Yobe state.
Yobe's government said on Wednesday it has banned the use of motorbikes, which have often been used in Boko Haram attacks, in volatile areas of the state. (Additional reporting by Ibrahim Mshelizza in Maiduguri; Writing by Joe Brock; Editing by Peter Graff)