Does America have a Muslim problem? Sure. And does Islam have an American problem? Again, sure.
But not in the sense presented by the article.
The underlying belief systems are different. Look at the various freedoms Americans have, historically, embraced - including the freedom to collect compound interest

. Islam is against all of these.
Freedom of speech? Of religion? Try those in Saudi Arabia. Don't expect to survive the experience.
The very phrases "slave of God" and "God willing" suggest the antithesis of the free will promulgated in the West.
The belief system connected to the religion is the problem - and it will spawn conflicts until the belief systems cease to be in conflict. This may well imply the destruction of at least one of the belief systems...and maybe both.