Simple: Islamic and Western cultural values are fundamentally incompatible, and the Islamic world is both expansionist and highly intolerant of that which is not Muslim. In a nutshell, I would not trust them to not use them on the West unilaterally, particularly as part of a terrorist action.
It's kind of funny, and ironic, how you view them with this fear, and yet you are actually making yourself a threat to them, by demanding a monopoly on nuclear weapons.
Let's see, Pakistan has nuclear weapons. It's not only a Muslim nation but one that's relatively 'radical' with fundamentalist, terrorist groups having a lot of power.
So are they 'nuking the west' for the reasons you say? No - they pose some risk for using nuclear weapons but it's almost entirely about non-religious conflict with India.
Now when you look at the history - it's the west that created the political structures for India and Pakistan that are greatly contributing to thier tensions; it's the west who has created nuclear weapons and refused to get rid of them, helping their proliferation; it's the west who has been aggressive to nations of the middle east, supporting repressive regimes to help them take the resources - even having a big role in supporting radical fundamental religious groups historically, to help them conquer the national governments a century ago.
So you point your finger at them and cry fear, but don't understand how they have a far better reason to do that at us. That's not saying you're entirely wrong - but that you aren't after peace, you are after the type of peace that comes from one group having power over another, not both having some equality, giving up nuclear weapons.
You don't understand that your legitimate concerns about Muslim government are brushed aside by your support for western monopoly that is free to screw them over.
If YOUR country were subjugated under a foreign-selected dictator, if YOUR country had its democracy taken, were invaded at will, by them, would you be listening to what they had to say about the flaws in your goverment of choice? No, you would not care about that and oppose the foreign interference and dominance and exploitation.
In other words, you are the cause as much or more than any 'Muslim tyranny' of the risks.
You may be chomping at the bit to defend your criticisms of the Muslim governments - not realizing I'm not disagreeing with you about that. Peace needs some justice, too.
So let's have some justice, let's get rid of nuclear weapons, AND let's oppose Muslim governments that are repressive.
You might find, like millions of Muslim Americans who live side by side with other Americans just fine, that that's the approach to have more peace and freedom.
That people are people. There's a reason Iranians love to watch American TV shows.
Rick Steves, the Europe travel advisor, did a tv show specifically for the west to show them that 'Iranian people are a lot more like us than you think'.
Here's a link to it - he made it for people like you:
http://www.ricksteves.com/iran/