There is a school of thought that wheat is bad for most of us, and although many of us don't have full blown ceoliac (sp?) disease, we have a mild intolerance, so yes, give up bread made with wheat and see what happens.
There is another school of thought, researched by Barry Groves in his book 'Trick or Treat' that all grain is bad for us, natural fat is good (not transfats of course) and we should really just eat meat, fish, cheese, eggs vegetables except spuds, and some fruit, and never eat any processed food. This is because our bodies have not evolved since the stone age, but our diet has changed hugely. A return to the stone age diet might suit our bodies better.
Perhaps a good start would be simply to avoid wheat in all its forms, including wheetabix. Modern wheat is even worse, because it has been bred so far away from the original that it is unrecognisable.