Scientists studied getting rid of all mosquitoes globally, and came to the conclusion it wouldn't have much of a negative impact (and a huge net positive for due ending malaria, dengue, etc.) Nothing eats exclusively mosquitoes, and those animals (birds) which do eat them could just switch to other insects, which generally are not in short supply.

http://www.nature.com/news/2010/100721/full/466432a.html

I'd do it in a second.