How do you mean the part in bold? While some of the monster races in Volo's are pretty bad, others are extremely powerful, so I presume you're not talking about the mechanics. Are you asking "What do you do in a world where your race is famous for being murderous murdering murderers?"
Generally you deal with that either by winning people over one at a time or by going somewhere where your racial reputation isn't that bad. E.g. in Spelljammer, Mind Flayers, Beholders, and Neogi are common enough and tolerated enough that you could still function in polite company and buy a house somewhere. Your neighbors would probably still eye you with suspicion (no pun intended in the case of beholders) but if you treated them okay they'd get over it eventually.