HopALong, if DLA were stopped, an existing blue badge wouldn't be taken away (at least by my council), but if it came up for renewal it would be hard to get a new one.
Ditto Disabled Person's Railcard.
BTW, both of those are paid for, not free - the blue badge is about a tenner round here, the railcard IIRC upwards of £30.
Carers Allowance I think would be stopped immediately.
Other services, it depends on the service. But DLA is used as convenient passporting benefit, so for example I will lose mine when the distance is changed from 50m to 20m, and will then not be able to renew my railcard.