Are you for real? They are not trying to invade your safe places. They are not going into toilets to rape women and children (please show me the statistics on that, I would love to see them). They are not trying to get into womens prisons to molest other women, they are not stealing medals from women (if you are referring to the south african athlete she had dna test and sorry but she is a woman). They are not attacking women in the streets (I would love to see the statistics on that).
I can't tell if you are just completely ignorant about this topic or a troll but I'll go along with it. I, and many others, started out 'on the other side' of this argument until we educated ourselves (and became increasingly horrified at what is going on).
Although there are a lot of individual cases of males (whether trans-identifying or not) assaulting women in 'gender neutral or women's toilets and changing rooms (and even in refuges, where women are seeking sanctuary from abusive males in a single-sex environment
torontosun.com/2014/02/26/predator-who-claimed-to-be-transgender-declared-dangerous-offender/wcm/fc2c70f0-b1a1-41e2-85db-bec9d0012ce5 ) it is difficult to get stats because crimes committed by males are being recorded as crimes committed by women. This is also increasingly the case in the media who will report the crimes as being committed by a woman - so you will see cases of women sexually assaulting other women when actually the perpetrator is male. Having said that a study was done on the impact of a 'gender inclusion' policy in one of the biggest chain of stores in the US which showed a large increase in sexual offences: womanmeanssomething.com/targetstudy/
In terms of 'trying to get into women's prisons to molest women' - Yes, they are - although the 'they' I am referring to here is 'males' not particularly trans people because self-ID enables any male to say they are a woman for their own purposes.
This is a rapist - with a penis - who was moved into a women's prison and then started sexually harassing the female inmates: www.dailymail.co.uk/news/article-4856268/Transgender-rapist-moved-women-jail-segregated.html
This is evidence to Parliament from the President of the British Association of Gender Identity Specialists about the increasing numbers of serious sex offenders who are identifying as women:
data.parliament.uk/writtenevidence/committeeevidence.svc/evidencedocument/women-and-equalities-committee/transgender-equality/written/19532.html
relevant section:
"...the ever-increasing tide of referrals of patients in prison serving long or indeterminate sentences for serious sexual offences. These vastly outnumber the number of prisoners incarcerated for more ordinary, non-sexual, offences. It has been rather naïvely suggested that nobody would seek to pretend transsexual status in prison if this were not actually the case. There are, to those of us who actually interview the prisoners, in fact very many reasons why people might pretend this."
He (and I) aren't saying that transwomen (as in those who genuinely suffer from dysphoria) are all sex offenders - but, under self-ID any man can identify as a woman and it is these sex offenders (both the convicted and non-convicted on the outside) who will take advantage of this.
Re: sport, no, we're not talking about Caster Semenya but all the males competing in women's sport who, regardless of how they identify, have a whole host of physical advantages over women (and , no, slightly suppressing your testosterone level doesn't remove these advantages).
These are just a few of the many examples:
whoatv.com/exclusive-fallon-foxs-latest-opponent-opens-up-to-whoatv/
www.newshub.co.nz/home/new-zealand/2018/04/transgender-weightlifter-laurel-hubbard-might-have-unfair-advantage-expert.html
wwos.nine.com.au/2018/05/08/12/54/hannah-mouncey-transgender-athlete-should-not-play-aflw-chris-judd-caroline-wilson
This article illustrates the physical differences between men and women's bodies.
fairplayforwomen.com/biological-sex-differences/
It's worth asking why sex segregation was introduced in these different areas in the first place. In the case of sport, it was because of the physical differences between men and women, in the case of refuges, prisons, changing rooms etc it was because of the risk to women of male sex offenders (and also for reasons of privacy and, in the case of refuges to give women who have been traumatised by male violence space to recover away from men).
Have all these issues gone away? Are there no longer physical differences between men and women? Following #metoo, is male sexual violence, harassment, domestic abuse etc all sorted and no longer a problem? If not, why are we as a society taking steps which will significantly disadvantage women and girls?