No. Only the game license involved in violations will be suspended. Might draw attention towards other accounts under the same b.net though.
'involved in violations' can be anything from sending 25g to buy a bag, to sending herbs/ore to sell on the ah.
remember Blizz is all powerful when it comes to bans, you really have no recourse but to plead for forgiveness and hope you get a nice gm.
Blizzard can ban you because your black, eat mexican food or even wear the wrong colored socks.
i.e any reason they want to.