A very US-brained comment.
I've attended multiple pride events/marches and I've been very glad of police presence. Every year there's at least one bigot who tries to start a fight with someone on a march, and the police quickly put an end to it.
A couple of years ago a man started shouting slurs then ran to attack another man immediately ahead of me (who had shouted back at the guy hurling abuse). A policeman appeared seemingly out of nowhere, sprinting, slide-tackling, then cuffing the aggressor, all before he could even land a punch on someone.
Do you want to get rid of that protection? Would you rather it be a free-for-all where homophobes can attend and attack with impunity? Would you rather the attendee have been assaulted?
Even aside from that, it is extremely stupid to want to drive a wedge between police and LGBT people. That will just make LGBT people less likely to seek help from police if they've been the victim of something, and further emboldens bigots in attacking LGBT people. Why wouldn't you, if you knew they'd never go to the police about it?
We are not the USA. Our police forces are not US police forces. The UK has many problems, but we are fortunate in having a relatively progressive, left-leaning police force (probably due to how much the Tories fucked them over with cuts).