This question is too complex for me to handle in a paragraph or two. If you had not included the words, “according to God’s Word,” it might be a bit more straightforward. For this column, I will isolate two issues your question raises.
The first issue is whether it is right for a Christian to attend movies (any movies). The second issue is whether it is right to patronize any business that earns money for ungodly people. Since not many good actors are Christians—and few if any movies feature an all-Christian cast—your question really deals with attending any movies. My answer to this first issue is too long for this column, but let’s look at the second question: “Should we patronize any business that pays salaries to non-Christians?”
Throughout generations, some Christians have thought it wrong to own policies in mutual insurance firms. Others have refused to make any purchases on Sunday, including buying gas or going out for ice cream after church, so that they are not encouraging others to work on Sunday. The moral issues involved in all these cases, including the issue that you raise, are best addressed in the Scripture passages that discuss Christian liberty, conscience, and decision-making (1 Cor. 5:9-12 and Rom. 14).