NHL.com's player database lists 87 players named Tyler.
In 1985 Tyler was the 43rd most popular name for boy babies in the USA. The name had risen to 21st by 1990. It peaked at 7th in 1995 and 1996, and fell back to 10th in 2000, 16th in 2005, 34th in 2010, and 63rd in 2013. Source. Canadian results will differ, but not much. The Nineties were carpeted with baby Tylers. What's appalling is not that they're now grown men playing in the NHL, but that they still call themselves Tyler.
The NHL Entry Draft takes place today and tomorrow.