I'm also very cautious about manipulating our complex environment without really understanding what is going on. But in this case, after careful reading of the post (where it is explicitly mentioned to keep healthy mosquitoe populations in the lab until sure) and Wikipedia I tend to agree that this would reduce human suffering without noticable environmental impact. Apparently there even have been studies to the effect:
Studies have shown that this process has been very effective in preventing sleeping sickness in people who live in the area.
I still upvote your post because you do name a few points that are all not addressed by the article. And there could be more which are plausibly problematic.
Sleeping sickness is transmitted by the Tsetse fly, which is not a mosquito. Even ignoring this I'm unsure what the effect on sleeping sickness has to do with environmental impact - this is the target effect of the program, no?
According to Louie Helm eradicating a species of mosquitoes could be done for as little as a few million dollar.
I don't have a few million dollar lying around so I can't spend my own money to do it. On the other hand, I think that on average every German citizen would be quite willing to pay 1€ per year to rid Germany of mosquitoes that bite humans.
That means it's a problem of public action. The German government should spend 80 million Euro to rid Germany of Mosquitos. That's an order of magnitude higher than the numbers quoted by Louie Helm).
The same goes basically for every country or state with mosquitos.
How could we get a government to do this without spending too much money ourselves? The straight forward way is writing a petition. We could host a website and simultaneously post a petition to every relevant parliament on earth.
How do we get attention for the petition? Facebook. People don't like Mosquitos and should be willing to file an internet petition to get rid of them. I would believe this to spread virally. The idea seems interesting enough to get journalists to write articles about it.
Bonus points:
After we have eradicated human biting mosquitoes from our homelands it's quite straightforward to export the technology to Africa.
Does anyone see any issues with that plan?