Can someone with an internet connection in his home lead synagogue services? Of course, if you believe–as I do–that an internet connection is a wonderful thing to have then the answer is clearly yes. However, If you take seriously all the extreme, and at times contradictory (even from the same rabbi), rulings regarding internet usage that have been reported in the media, I think we can look at a relevant historical responsum to answer this question. This is useful both in examining the current situation and in seeing how far exaggerated rhetoric can be taken with real-life repercussions. (I am reminded of a devout elderly man I used to know who was prevented by his chassidic family from leading the minyan while sitting shivah for his sister because he was clean-shaven.)
In a 1971 responsum, R. Moshe Stern discussed whether someone with a television can lead synagogue services (Be’er Moshe, vol. 4 no. 143). R. Stern assumes that watching television is a violation of a biblical prohibition. Additionally, since people can see the antenna on the owner’s house, the sin is considered as if committed publicly. Often, guests to a home can even see the television set. Therefore, such a person is a public sinner and may not lead synagogue services. You should prefer praying alone at home to a synagogue where he leads. You must also avoid hearing a sermon given by a “rabbi” who owns a television.
Since internet use is private, unless you blog under your real name, presumably R. Stern would allow someone to lead services even if he has unfiltered internet access as long as he does not publicize the fact.