The government's going to come unstuck because to ban conversion therapy requires you to define which way the 'conversion' is going.
So as a society we now (rightly!) agree that gay people are 'really' gay, and trying to convert them into being straight is wrong. (Broadly speaking - obviously lesbians need to be converted to loving some sorts of penis to save them from their own bigotry.)
But which was is 'conversion' for dysphoric and/or trans kids? Are they 'really' their natal sex and so any support or encouragement to transition is 'converting' them into trans people? Or are they 'really' the gender they say they are, in which case encouraging to desist and/or think through other causes of their dysphoria is trying to 'convert' them into being 'cis'.
The best outcome would be to say that dysphoric children / children with gender issues need gentle supportive therapy to find out why that might be and whether it is something that will or can be resolved, or whether they will eventually want to pursue some form of transition. I'm not sure you can legislate for that, though.