Would Theodore Roosevelt have become a Democrat at some point?

[Skill and Chance]

I can see him going Dem in some elections that 1. aren't close and 2. are primarily about economic/regulatory policy (1932/36, plus 1964 and 2008 if he lived unnaturally long), but I doubt he ever leaves the party, even to the present day.  Teddy would almost surely find Trump more politically attractive than a generic 20th century R president, not less.  Modern Dems would also have virtually nothing to offer him on social issues.  He was also preoccupied with declining birthrates and strongly opposed liberalization of birth control.  He would almost surely have been pro-life had he lived to see Roe v. Wade.