Only until the next President comes along and enforces them. Are we so shortsided that we are willing to give up an essential freedom for a temporary political advantage? Of course if you "don't enforce" and take the unconstitutional parts to SCOTUS, then IF they declare them unconsitutional, you've got the same effect as a veto. Until they just pass the same law again, which of course they could after a veto also, but they'd have to wait until Bush is out of office, knowing he would veto it again.
Only until the next President comes along and enforces them
Even sooner than that. The moment Bush refuses to enforce a section, the administration will be sued in court to enforce it and will get blasted by said court (and the press) for selective enforcement.