We should be celebrating these little buggers and not trying to eliminate them. Finally, some fungi and bacteria live with your plant roots and provide nutrients to them. We've probably all heard of inoculating peas and beans. When you do this, you're adding a bacteria to the soil that will fix nitrogen from the air. The plant can then use this nitrogen to grow.
Organic gardeners use pesticides.
I've heard some talking about them. So you're no better than a synthetic gardener. Organic gardeners use a variety of natural sprays to control insects. Some of the stuff is found in the kitchen, and you could eat it for dinner. Some of the stuff is more dangerous, like pyrethrin, rotenone, sabidilla dust, nicotine spray, and neem oil.