Well, I'm definitely no theologian but my "system of theology" goes something like this...God loves us (all of us). He does not wish that any would perish. Unfortunately, we love sin and would not choose God on our own. It is the work of the Holy Spirit in us that causes us to even want to choose God's way over our own way. But, because we have free will (which does not supercede the sovereignty of God...He has allowed us in His sovereignty to have free will because he does not want puppets to worship Him), we can choose to walk away from the truth, like the rich young ruler. So do I believe all will be saved? No. Many people will still choose sin over God. But do I believe that God has "limited" the number of people who will be saved? No. It is open to all, just at different times (through the work of the holy spirit, not simply a recited sinner's prayer).
Back to the OP's question: does this make me partially calvinist or partially arminian or none of the above? I don't know and it doesn't much matter to me. What matters is whether or not I am following in Christ's footsteps and I am not sure which denomination that is! :D