There are some basic human rights issues with banning bitcoins for trade. It would be equivalent of banning bartering.
I could imagine 'soft' measures to discourage it, however, using the excuse of money laundering, purchase of illegal goods, and 'cash in hand' work for tax avoidance.
So attempts at monitoring and investigating bitcoin transactions will almost definitely happen, though to what extent is the real question. It may be that when you have a legitimate reason for trading large volumes of bitcoin you will have to register yourself with an official body and submit to audits, or risk investigation and possible prosecution.