Democrat Voters partly responsible for Trump’s victories?

DEMOCRAT VOTERS PARTLY RESPONSIBLE FOR TRUMP’S VICTORIES? So far, Trump wins open primaries and Cruz wins closed. Any registered voter can vote in an “open” primary, while in a “closed” primary only voters registered as Republican can vote in a Republican primary. So far there have been four closed primaries, and Cruz has won three of them. It seems likely that Cruz would have won the South Carolina primary instead of Trump had it been a closed primary. Most of the upcoming primaries are closed.

So perhaps Trump is winning by appealing to Democrats, or perhaps Democrat voters have messed with the Republican primaries.