Apparently, Stephen Hawking organized a time travel experiment in 2009. There was also the Time Traveler Convention in 2005 [1].
If people keep organizing such events, future time travellers may be at a loss as to which one to attend.
Ahem, all of them at once?
Just like we don't attend all parties available to us, they would soon get bored.
What do you think the government would do if they got a hold of a real life time traveler?