Are Tories an equivalent to conservatives here and labor liberals?
Yes and plenty of CINOs like RINOs
“Are Tories an equivalent to conservatives here and labor liberals?”
More like Tories there are equivalent to Joe Manchin wing of the Democrat Party, while Labor is the Chuck Schumer wing of the Democrat Party - on the big issues, they’re both identical (repopulation, climate change, ending Christianity, ending Free Speech, and starting WW3 against Russia).
Reform is equivalent to the base of the Republican Party, meaning MAGA.
There really isn’t a RINO party in UK, as whoever might have been a RINO ended up joining the Leftists and their agreeing with their priorities (in the US, the RINOs are still clearly to the right of the entire Democrat Party - but in the UK the Tories have nothing to distinguish themselves from Labor).