Re: wasting time on non muslims
Let us for the moment assume there never was a Osama bin Laden or Ghazani / Gori Mohamad sort of attackers or no muslim suicide bombers (these being the kind of things that have led to the impressions of a violent nature). In that state, everyone will certainly be interested to learn about the philosophy of Islam - because its positive aspects will be visible and create interest.
Unfortunately that is not the case - a 1000 muslims living in peace in a Indian village makes no news because there is nothing interesting for people to read! On the other hand stories of violence make good press.
It is like a company making 20% profit year after year - nobody thinks twice about that company. But one mistake - say two failed quarters or a CFO embezzlement and next thing you know, the stock starts diving
There is no pointing lamenting against the press or the readers after that. The only 'fix' the company by getting rid of the embezzlers, cut the quarterly losses etc.
Same way perhaps Islam must find a way to get rid of the bad elements. I don't know if you have a system for ex-communicating etc and if not, may be create one. Start publicly ex-communicating the suicide bombers, the fiery clerics and the tyrant monarchs who all claim o be saviors and defenders of Islam and I guarantee you the problems will be gone in no time