I've followed this thread since posting further up, but the debate seems have rather spiralled into something which does not resemble the actual picture on the ground. I'm a local government solicitor (but I also act for RSLs) specialising in anti social behaviour with 10 years experience in this area. Apologies for the law lecture in advance 
Councils/RSLs do not make a decision to evict a tenant - they have to serve a notice and then make their case to the County Court, the District Judge decides. So it doesn't matter was the CEX, Housing Officer or politicians think - if the judge does not think that the statutory grounds have been made out or that it's not reasonable to make an immediate order for possession then there will be NO EVICTION.
The provisions that the Councils are using are NOT NEW. Councils and RSLs have been able to serve a notice seeking possession on the grounds of nuisance, anti social behaviour or criminal activity for a considerable period of time. Council's and RSL's use them sparingly because it's expensive and difficult to get a case together. Even if they didn't the County Court would not entertain weak cases.
Council's/RSLs generally use 3 grounds for dealing with anti social behaviour;
1.Breach of a term of the tenancy agreement - there will usually be a number of conditions about antisocial behaviour in the TA OR
2.Nuisance or annoyance to someone in the locality of the dwellinghouse OR
3.Indictable offence committed in, or in the locality of the dwellinghouse.
In the first two cases, the court will be looking for a repeated pattern of behaviour, so a one - off incident is extremely unlikely to mean an order being granted. Additionally in the 2 and 3rd cases there MUST be a link between the behaviour and the local area, so if an offence in another area cannot be used as evidence to prove either of those grounds. In relation to the first ground the TA terms themselves usually make the link between the dwellinghouse and the behaviour).
The third ground also ONLY relates to indictable offences (offences that can only be tried by the Crown Court - it was introduced to deal with drug trafficking)which is NOT THEFT, so it could not be used for minor offences.
In ALL of the above cases even if the Council/RSL can show that the ground has been proven - the court still needs to believe that it is REASONABLE to make an order for possession. This is where an examination of previous behaviour, warnings, willingness to change, personal circumstances, personal culpability, other people in the household come in. The DJ will weigh all of those considerations up in deciding whether to grant an order. Even if it is reasonable to make an order it can be suspended (ie it won't take effect unless the Tenant breaches the terms of the order) - so they stay in the property.
There is no way that a Court would evict a tenant, let alone children from a property where there has not been serious, persistent anti social behaviour/criminality and there was no intention on behalf of the tenant to put things right. It does not happen and there is a body of caselaw which has been built up which the DJs follow.