"It's the 4th of July and I'm feeling patriotic", wrote Kaplan. "I could go on a rant but you know what I would say".
Responded Woods, "Dear Ken, I don't actually". "I was thinking if you're feeling patriotic, you would appreciate free speech and one's right to think as an individual". The actor described Kaplan as a "political liberal".
Woods has previously said that being a conservative in Hollywood has made it hard for him in recent years to find roles.
Deadline reported in December 2009 that Woods had signed with the Gersh Agency, where Kaplan is a partner. Woods, meanwhile, is still very politically active on Twitter, and apparently seeking professional representation.
The actress, Amber Tamblyn, came out - in the middle of the #MeToo allegations - and accused Mr. Woods of trying to seduce her when she was just a 16-year-old girl.
In a 2013 Twitter exchange with a follower, Woods said that he didn't "expect to work again".