Not accomplished anything? oh you mean hasnt won a world title or 7...?
1.5 season long career compare at the end mate 
I'm not sure I agree with that. I feel you have to earn your right to have an opinion, well, ones as strong as Hamilton's.
I think having only a sole tyre manufacturer is bad for the sport, too. A tyre war would create many more situations where cars that are normally stuck in the mid-field can take podiums and even race wins. Look at Spa '98 as one example. The Bridgestone tyre was a bad tyre to be on for that race. Despite being the faster car that season, the McLaren was terrible on that track in those conditions. The Goodyear, however, was great, with two Goodyear-shod cars taking up first and second places and most of the other finishers were also on that tyre. In fact, all the cars using Goodyear tyres finished in the points-scoring positions.
So I think that would definitely be something for the FIA to change. Not strictly a regulation, but still something which has an impact on the racing.
I agree that a tyre war would be a good thing for the sport, but I'm not so sure that its impact would be all that great. A similar situation to what we have with the new tyre rules and qualification format would happen, whereby we are guessing the strategy of certain teams or drivers rather than seeing a lot more overtaking. Borrow the odd race, seasons with more than one tyre manufacturer has been about which tyre suits a particular circuit, climate and/or which will suffer less degradation. Of course that means there will be more funny results and that the championship battle will be prolonged in most cases, but the levels 'on-track action', i.e. overtaking that people seem to be crying out for, will not really be increased.
My own view is that overtaking's frequency in other racing series and its importance are overstated. There are nowhere near the levels of overtaking outside of Formula One than is made out by some people. And Formula One is about more than overtaking anyway, indeed, that has always been the case. The sport is also about engineering, teamwork and strategy, for example. Whatever way the FIA poke around with the rules, overtaking is not going to become Formula One's main feature. If people can't appreciate the other aspects of the sport, such as the quality of engineering, then they should not watch it.

Ayrton Senna: WDC 1988,
1989, 1990, 1991
McLaren: WCC 1974, 1984, 1985, 1988, 1989, 1990, 1991, 1998,
1999, 2007McLaren: WDC 1974, 1976, 1984, 1985, 1986, 1988, 1989, 1990, 1991, 1998, 1999, 2008