I just bought 135amp alternator for my 95 Civic, because I have a feeling that my OEM one is dying with 143k miles on it. My question is, do I need to upgrade wires that are going from the alternator to the battery, since the stock alternator is only rater at 65amp?

Also, what kind of advantage will I have with the higher power alternator? I don't have a monster sound system or anything, but with the stock alternator my dashboard light are dimming when I put the headlights or AC on - I hope it will improve with the new one