They all on paper believe in gay rights, abortion rights, equality, freedom of speech (to varying degrees).
Only on paper. 136 Tory MPs voted against gay marriage, compared to 120 in favour.
Churchill's conservative party voted against the creation of the NHS 21 times.
They have been consistently against free speech since the 1960's and in the last 10 years have brought in some of the most oppressive laws against free speech in the western world.
Suella Braverman is currently trying to get rid of the laws which protect women getting an abortion from getting harrassed and abused on their way into a clinic. Jeremy Hunt wants to cut the abortion time limit from 24 weeks to 12 weeks.
The Conservative party are socially conservative. The only reason we have the things you mention is because of the Labour Party and the fact the public won't entertain the tories extremist positions so they have to suppress them to get elected.