There are some misconceptions here and you are not alone in that.
First of all 'Wahabbi' is considered a derogatory term, what you want to say is salafi. And not all arabs follow the salafist path. Infact probably majority of them do not. Its strong base is ofcourse in Saudi Arabia followed by Gulf countries and Egypt.
Salafi or Ahle-e-Hadith is type of movement but it is not as sinister or evil as it is made out to be. The movement was intiated by an Arab scholar hailing from the Najd region of Saudi Arabia. This is the area around Riyadh and only started about a century ago. Not everyone in Saudi Arabia is a salafi, just like not every one in Italy is catholic. There is difference of opinion with other Islamic scholars on many issues and ofcourse there are extremist elements in every group and the salafis are no exception. I don't agree with salafis on many things but studying thier books and teachings I can't agree that they could promote violence or terrorism that is doen by Taliban, LeT, AQ, JeM type groups. These are all politcally active groups while Salafism does not have anything to do with politics.
For example, salafi scholars have condemned suicide bombing as haram even if its for Jihad (aka Palestinian suicide bombings), OBL had been exiled from SA, OBL declared salafi scholars as kafirs as they don't follow quran (according to him) So although they might have some extreme approach to some matters, they can't be blamed directly for terrorism
The ideology that IS causing extremism and violence is what you may call Qutubism. That is basically the idea of using Islam for grabbing political power. Syed Qutb and Hassan Al Banna from Egypt, Mawdudi from Pakistan established the idea of using Islam for political power and were more influenced by the ideas of colonialism, fascism, communist revolutions and arab nationalism rather than any basis of Quran and Hadith. Most of these ideologues had no understanding of fiqh or Islamic Jurisprudence.
Another perversion that Qutb introduced was takfir (excommunication), i.e. very easily declaring muslims as non-muslims, without looking at the basis in Islamic jurisprudence.
Now even with this hate-filled and perverted ideology, this fringe group would have been a minimal threat. The problem was because most muslim majority countries had to legitimise their rule, they used and supported these groups through money and para-military training and inducting them in security forces. This applies to Saudi Arabia, Pakistan Egypt Algeria and many other countries. In Arab countries these groups were used as counter to communist activists and arab nationlists with covert and overt support from western countries at time. In Pakistan military dictators would use private religious groups to target political opponents in the name of Islam so that they can get more power. Ofcourse there was also the proxy war use in Kashmir and Afghanistan.
The Afghan War in the 80s these groups got an extra boost where the CIA and other intelligence agencies provided them top notch bomb making and sabotage techniques which they were able to develop themselves later. Financing from the arab countries also helped in bankrolling them.
By the 90s, most arab countries realised their folly as battle hardened and trained militants started returning. Algeria had to go through a decade of violence and so did Egypt. Saudi Arabia is still battling AQ and affiliated militants. Infact, many of these ideolouges took politcal asylum in western countries to run away from their govt.
Now, this is something that is not unique to Islam, any religion or ethnic based nationalism woudl result in the same scenario. So the white skinheads like KKK (white race) or Nazis in Germany (white race and christian supremacy over jews) are examples of this. Even in India we are seeing the backlash of using relgion in politics with Hindu extremists blowing up bombs and commiting terrorist activities. These fringe groups look at democracy and say that they have failed them only because they could'nt get power. Hence terrorism is the only way to (a) get revenge or (b) destabilise the govt. and get power through a coup or somthing similar.
Bottom line any polical organisation that mixes religion soley for the sake of gaining power is bad news, and these should be nipped in the bud
Some further reading for Salafism:
http://www.thewahhabimyth.com/
Now my personal opinion is that because the Indian scholars and ulema have not been used by the state for political ends unlike in the muslim majority countries, they have continued to maintain the original and "politcal influence free" and pure Islamic teachings. Indian scholars are well respected by Salafi scholars as well and I know of their deep appreciation for many religious works done by Indian scholars. But certainly Indian scholars along with other scholars from other countries can play a leading role in bringing religious institutions out of political influence and focus back on spirituality and universality of Islam.