135A won't damage anything. The electrical components will only draw what they need. I have a 140A alt and everything's fine.

Be warned though, the alt and battery might not fix your problem. I have a Yellowtop and installing the HO alt actually made things a little worse at idle. Some HO alts have lower voltages and current at idle than the stock alternator.

Upgrade your "big 3" wires with some hefty 4ga or 0ga wire and it should make a difference.