I think Jesus doesn't motivate you to get addicted, neither he saves you from any addiction. Being addicted to things which harm you, e.g. smoking, alcohol, other drugs, workaholic is certainly a person's choice. Jesus has nothing to do with it. A person chooses to try new things and without thinking twice about how good or bad it is. Addiction to anything mortal, or over doing anything mortal is a bad thing and is one's own 'karma'. Do not ask Jesus to save you from that addiction. Of course one can ask for courage to come out of addiction, and not to become addicted in the first place. Jesus can help you there for sure :)
I also believe that an addiction something, which is a lever higher than current addiction could free from the one of the addiction. Confusing..right? For example, if a person smokes and is addicted to smoke, there is a chance that he will try some other drug of higher level, e,g. grass! and will get addicted to it. It is possible then that he will no more wish to smoke a normal cigarette.
What I am trying to say is, if someone is addicted and he wants to quit, he should find a greater level of addiction. My thinking is that the ultimate addiction is that of Jesus himself! So if someone gets addicted with Jesus, and can't stop thinking about him day & night; there is a chance that he will forget about everything else, which in a way help from Jesus to save from all the other addictions and from this mortal world, for that matter.