I hate seeing couples hold hands or perform any other acts of public displays of affections in public. It drives me mad.
Why would you hate couples that show affection in public?
I consider such actions as unworthy, bringing perverts onto the street with unsuitable behavior .
Your opinion is worthy here about public displays of affection, but who are you to judge at the same time. The couples are in love and proud of it, it is not going to change anything about their love life to hate on them. Leave them alone and look elsewhere (instead of at them) if you happen to come across such behavior.
I despise and want to break up the relationship.
I don't think you should even be this concerned about such people. You should be happy for them being in love.