Isn't forcing a provider to do business with everyone who asks just as bad? You're saying noblogs should be compelled to host nazi blogs. (Actual Nazis, not a euphemism. People who want Jews to be gassed.) You're also saying wedding cake bakers should be compelled to bake cakes for gay weddings.

A service can't be refused for reasons like religion or race, a power company cannot refuse to serve a customer because they're black or Muslim. If a company is acting as a platform or provider they should serve customers regardless of their views and this should give them protection for being liable for their customers actions.

Do you think providers should be allowed to refuse service because they don't like certain customers views?

It's a good question. If someone comes on my forum and posts "I strongly believe that all Jews should be immediately gassed" am I allowed to ban him or am I obligated to provide equal service?

I think this comes down to whether you're a platform or a publisher, if you're a provider you're not responsible for what your usera do with your service, if you only allow selective use then you're implicitly endorsing whatever the users you allow do.