I don't think we'd have more mosquitoes than we already have. We do put out mosquito traps with Bti and spray if it becomes truly unbearable. And yes - I have a poison ivy forest growing wild beyond my yard. I do patrol my yard for that nasty thing and pull any plants that I can. Always pulling seedlings as well. Learned to never go barefoot or wear open sandals in my yard and I always wear leather gloves. I can even spot seedlings in the lawn.
