@Prawn - If you are using Reddit as the basis for your arguments I can see this not going well in the longer term. Try factual sources and not the ramblings of the internet.
Let's dissect some statements:
'Transwomen are, on average, taller, heavier, and very much stronger than women, and they, like other males, pose a potential physical and sexual threat to women, and at the same rate'
Trans women (as opposed to fetishistic transvestites) take HRT. A small subset don't, but it's very small. Getting access to hormones is the first thing any trans woman wants - it's why we self medicate when we can't get access to them via the NHS or whatever. Have you studied their effects? Because trans women on hormones for a certain period are allowed to compete at some competitive sports on the same basis as cis women (source: The IOC). Which means they aren't 'stronger'. Blocking testosterone will reduce muscle mass (especially in the top half).
Testosterone blockers which are often prescribed first, decrease sexual drive (often quite dramatically) and have a strong chance of causing erectile dysfunction for those that have not had lower surgery. So that removes the 'sexual' threat quite a bit. This is quite a quick effect, by the way.
Yes, we are taller on average. I would debate heavier - we are on the lower percentiles for weight compared to men.
And finally 'all the rapes and murders committed by transwomen'. Really? Can I have some evidence please? And some underlying statistics that prove this is an alarming trend rather than some random example. I'm not saying that no trans woman has ever committed a sexual offense, we are still people and come in all shapes and sizes.
But painting us as perverts and rapists is just like Donald Trump saying all Mexicans are rapists and we should build a wall to keep them out. Or perhaps you don't like the comparison?
It's worth noting that lesbian rape is also an interesting statistic here (although technically under UK law rape can only be committed by penetration with a penis, which means lesbians can't legally commit rape, so you need to adjust statistics to accommodate for that). But sexual assault by women on women does happen. Or do we ignore that? You are already sharing your bathrooms with people who have committed sexual offences on women.
(Note that I'm not saying or trying to infer that lesbians are sexual predators in anyway. Far from it in fact.)
An alarming portion of the transgender community have been sexually assaulted (primarily by men). Statistically this is much higher than any other community. Trans women of colour being the highest. Putting us in the men's bathroom isn't going to reduce this risk, and it's going to make a tiny percentage of women feel 'safer' (and I mean tiny percentage).
This is why I say it is fear-mongering and posts such as yours are just propagating this.