I would second having to be careful with that as regards punishment. It needs to be the right "punishment" to be a deterrant rather than making them worse. Anything that restricts parental responsibility is something that makes them think twice in case the next thing is losing residency. I had costs ordered on one occasion. That should have been a detterant but it made things worse and they didn't get paid. Quite difficult to enforce costs as well so I cut my losses there. A better option would be a penal notice. A penal notice can be asked for - it must be on the front of the order, to be valid and means that they could be imprisoned if they breach again. Even then it's not that simple - if she did breach again you still have to apply for the penal notice to be enacted (and it does seem courts are reluctant to send Mothers to prison).
If it's the type of person that Peanut 21 describes then nothing will be a deterrant - they are bold and think the court will never send them to prison. So in my view the best thing to ask for is a suspended residence clause. This is a clause in an order that says, if she breaches again, residency will be transferred. That is quite a big deterrant as then she loses money - the child benefits and the CMS. And control and power. Even if residency is transferred they can still work on the kids and try and alienate them or get them to refuse to come back by threats and coercion. The main difference is you have more power and if she does do bad stuff to coerce the kids, you can withold them. And have the best chance of counteracting and undoing any alienation attempts.
Yes courts don't like to see one parent asking for "punishment" for the other so I would suggest couching it something like "the court may wish to consider making a suspended residence clause, curbing the Mother's parental responsibility, to encourage her to comply with court orders in future and to help ameliorate the effects of any negativity towards me on the children."
The thing is - even for a suspended residence clause, they have to do a section 7 to see if transfer of residence is suitable - just as they would for a transfer of residence, because it could happen immediately a breach is proven.