According to this Scientific American article, triclosan and chemicals like it help select for resistant bacteria because they have specific targets in bacteria that are shared by some antibiotics, and antibacterial products leave behind a weaker residue that contributes even more to resistance selection because it is not as effective at killing. Products like alcohol and bleach, on the other hand, evaporate leaving less residue, and they do nonspecific damage to the bacteria, so the risk of bacteria developing cross-resistance with antibiotics from traditional cleaners is less.
We are harming ourselves and our children by continued, widespread use of antibacterial products by breeding more resistant forms of bacterial diseases and by the contamination of our crops, streams, food, and water with these products. If this is true, none it should really be surprising despite the SciAm article's title. It makes sense, and the concern has existed for several years.