If I link to the site, will I be breaking the terms of service of my advertising provider?

I am pretty sure you wont. The manifesto clearly encourages readers to support only those advertisers that they find interesting. This benefits the advertiser, the content creator and the advertising network. Everybody wins.

What's the point, if readers should only click the ads they are interested in?

The point is that most readers don't do this. They ignore or condemn the advertising. It is time for honest content creators to stop being apologetic about advertising and to encourage their readers to practically support the sites they enjoy.

I hate pop-up ads. Why do you think they are okay?

Actually I hate them to, and ads that pop-up between pages when you click a link, and especially flash-based hovering ads that block the content you want to see.

Have you noticed how the more obtrusive the advertising the less useful the content? Almost all the sites I love use discrete advertising blocks because the content creators are passionate about their topic and don't want anything to detract from that.

Unfortunately the reason why sites annoy you with ads is because people don't tend to support advertising when it is discrete. That's the whole point of this campaign: let's lower the annoyance arms-race and support people who make genuinely useful content.

Why are you advertising on this site? Why don't you make it ad-free?

Isn't that the whole point? Content creators should be neither embarassed at offering discrete advertising, nor should readers object to supporting content they find useful.

If you don't find this site useful, follow the 4th manifesto principle and avoid supporting my advertisers.

If I link to you, won't you get the ad clicks?

Possibly. If that is a problem, you're probably missing the point.

If it is a show-stopping problem for you, note that the site has a creative commons license. As long as you follow that license, you can create your own ad-free version.