No. You're not. You're just (legally) attacking the principles upon which your society is built.
The US government, by the first amendment, can't legally censor your speech.
That doesn't mean they have to give you a bullhorn, a soapbox, and a corner to stand on, though.
Western democracies like Germany, the Netherlands, or Canada (to name a non-european democracy) might disagree there.
http://www.un.org/en/universal-declaration-human-rights/
Article 19
I assume you'll be filing suit against Der Spiegel, Le Monde, and The Economist for failing to publish your articles?
Seriously, I would bet that "impart information and ideas through any media" doesn't mean that you have the right to use others' equipment, venue, and name.
Now - if the Daily Stormer paid for services, and wasn't refunded their money after their access was pulled, that's one thing.
But if the money was returned to them, and they were told "We won't sell you this service any longer, because you have violated our terms of service" - then the company offering the services are free and clear to do that.
If the DS wants to continue broadcasting their speech, they are welcome to set up their peering services, dns providers, and DDOS prevention and CDN services themselves. And, if someone violates their terms of service, they are just as free to stop providing services to them.
But companies aren't required to give someone a bullhorn to amplify their voice.
Article 30.
Nothing in this Declaration may be interpreted as implying for any State, group or person any right to engage in any activity or to perform any act aimed at the destruction of any of the rights and freedoms set forth herein.