If misreading Islamic doctrine was the actual cause of the world's Islam problem, the solution would be helping Muslims read the Koran and the rest of Islamic doctrine and understand it correctly. Or perhaps we could simply rely on basic human decency and treat Muslims well and they will reciprocate and we can all live in peace.
But those of us who are acquainted with Islamic doctrine understand that these responses couldn't possibly solve the problem because the core values and principles of Islamic doctrine itself include clear and unequivocal commands for Muslims to set aside their human compassion and force the rest of the world to submit to Islamic rule.
Helping Muslims read and understand their doctrines better would make the situation drastically worse. Even more Muslims would then become aware of their obligation to wage jihad on the non-Muslim world.
Even if we allowed only moderate Muslims, MINOs, or heterodox Muslims to immigrate into our countries, their offspring are susceptible to becoming orthodox (radical), so that solution wouldn't help much in the long run.
If more people were aware of the fundamental intolerance and violence of Islamic doctrine, it would be obvious that entirely different kinds of solutions to the problem would be necessary, like curbing Muslim immigration, preventing Muslims from being in military or security positions, cutting off money we are now giving to Muslim countries, etc.
It matters that people understand what's in Islamic doctrine because the solutions they propose or support will be entirely different, depending on their understanding.