OP, first of all, yes transwomen and transmen should have the same rights that every other subject/citizen is entitled to. Absolutely. No questions.
Spoiler alert: they already have them
What they are not entitled to is having women's rights as well as their own.
I mean the rights and entitlements that are given to women as a social group, based on our ID as biological females with XX chromosomes, etc.
Like rights to our own spaces when it is important, e.g. for safety, dignity or comfort.
On a more practical level:
Do you know how few transpeople there are in the UK, OP? According to the last Census, there may be about 250,000. For comparison, the number of disabled people is estimated at 16 million.
The population of the UK at the time of the last Census was around 68 million. Trans rights activists are so vocal - at at times violent - that you'd be forgiven for thinking there were millions of them.
They are a tiny proportion of the population. They are not marginalised - far from it! They already have all the rights they are entitled to as UK subjects. They are 100% entitled to their rights, but they are not entitled to women's rights as well.
To transpeople, their rights and no more.
To women, our rights and no less.
edited to say: I had a fair idea that OP was AWOL, but sometimes it's useful to formulate answers even if the questioner isn't listening..