True, guidance is from Allah but Allah made everyone of us masuul/shepherd. In our duty to enjoy the good and forbid the wrong, we are not suppose to be passive. In regards to prayer, Allah didn't say tell your family to pray, or ask them to pray. He told us to ORDER them to pray. In regards to your kids, youre instructed to beat them of they don't offer the prayers. So we're not allowed to have a passive attidude.
If we see something bad, we're instructed to change it with our hands, if we're not capable to alter it with our hands, we must speak about it, if that's too much to ask then we must reject it with our hearts and thats the weakest form of Imaan.