I'd be interested to hear what a non-cal prays for when you pray for someone you know to come to Christ. Do you pray that God would save them, or simply that God would put people in their life to share the gospel with them and situations that will point them toward him?
I have said this before,when a non-Cal (read Arminian) prays, they are in effect Calvinistic -- In contrast to their preaching/teaching.
Bavinck,Warfield,Spurgeon,Herman Hoeksema and many other have pointed this out.