I think we have been over this several times before, in pure numbers yes Argentina could easily beat the Typhoons at RAF Mount Pleasant and HMS Dauntless, which is not at all the world’s best air defence vessel by any proximity, however the likelihood of them conducting such an audacious attack, or an attack all together, is next to none and thus Britain continues to trump them. Any attack would most likely involve their naval fighters (A-4s) which would be relatively easy bait for the Typhoons and if necessary the Dauntless or the two remaining Rapiers that defend Mount Pleasant.
In regards to the air defence comment Britain is vastly, vastly, under equipped in this area we have very few remaining Rapier guns and they are next to useless in the modern day with the likelihood that their FLAADS replacements will be even fewer in number. The Type 45 is not the world’s best air defence warship, at the moment, it could very well achieve that status for its size as there are very few comparable vessels although the fact that it is brand new means half of its toys do not work yet or have not even been equipped.