Touchstone to Qi conversion?

Would it be possible to convert a cheap $7.00 touchstone charger to work with devices such as the nexus 4 that support Qi? Are the technologies similar enough? Would it send enough power? Would this be a matter of only switching out the antenna? I don't know enough about how wireless chargers work, but maybe somebody who has done the touchstone mod for the Gnex or other devices might be more knowledgeable on the subject. What say you?