Allowing people to use whatever bathrooms/
accommodation/whatever they like according to "what the identify as" which can be lied about can lead to issues. Here are 2 famous recent examples
http://metro.co.uk/2017/02/05/transg...mates-6429321/ and
http://www.bbc.co.uk/news/uk-39337805 - I know criminals and the military are 2 very different sets of people, but the point is that problems would very well be able to arise.
Although its obviously unprovable whether they lied it raises questions as to whether people should be allowed to effectively choose what sex of prison they want to be allocated to. In a similar line of thought, being able to choose what
bathrooms you use could be an issue as has been shown multiple times in cases such as this
https://www.nytimes.com/2016/07/15/u...voyeurism.html .
On the topic of physical tests, transgender men choosing what tests they want isnt a problem since they have the phsyical attributes and hormones of females since that is their biological sex. The issue is with transgender women, who have the physical attributes of men being tested by easier standards than they should be.