Is it wrong of me to REFUSE to serve muslims in my business?

i'm a middle class American and i run a successful small business. As the owner of this business I have the RIGHT to refuse service to anyone. i live in a suburb of a large city and recently there has been a large influx of muslim immigrants. they are loud, rude and disrespectful and they expect me to cater to them. i do NOT support islam, i believe it is a fanatical non-religion and that it is the BIGGEST problem of the 21st century and that we have to eradicate it if we want a peaceful world. therefore i decided recently that i will NEVER serve another muslim customer. i have my "right to refuse service" sign out and if you have a problem with it then stay the hell away from my shop. this is the LEAST i can do to keep shariah law from taking root in the US like Oblingbling things it ought to.