It depends on where you are. Like where I am Republicans don't win statewide. It might be somewhat effective if you're organized with others in a closer state? But as an individual, no you're going to get more mileage out of voting in the primaries of the party closer to you in political views.

Like if I'm closer to Bernie, then what good does it do for me to sabotage the Republican primary if me not voting in the Democratic primary leads to Hillary beating Bernie in the Democratic primary and now it's a Republican I didn't want vs a Democrat I didn't want?