If you do not have a liaison, on the contrary you do not pronounce the consonant at the end ;

liaison : un grant arbre (un grand arbre)

no liaison : un gran arbre (un grand arbre)

There aren’t, properly speaking, dialects of French, merely regional particularities which are never too far removed from main stream French. What you find, though, is a number of completely different "languages" ; they are limited to regions too, are not always full fledged languages (no written form) ; some of them are call "patois" in French ("patois du Midi" for instance) ; others are ancient languages such as Provençal (written form) ; it is not known for some of them, such as Corsican, whether they should be called "patois" or "langue" (not all people agree on that point).
Therefore there does not exist a dialect with such caracteristics as you mention ; however, French people in the lower classes and those with less education use less liaisons than the rest of the population.

Moreover, the art of liaisons is a conservative caracteristic of the language.