Arminian Conundrum

Here is an Arminian conundrum:

1) Those Arminians who AFFIRM that a Christian can lose his salvation must believe (contrary to Gal 3:3) that the Christian must themselves maintain their own just standing before God. This is in clear violation of the biblical doctrine of salvation by Christ alone.

But

2) those Arminians who DENY that a person can lose his salvation must, in doing so, also give up their idea of libertarian free will. If God seals them in then they are "forced" to stay saved, even against their will ... OR the only other possibility it that God changes their will so they WANT to obey. In that case they can only choose according to their new natures, which is contrary to everything Arminians have taught about the nature of man to this point and would affirm the Calvinist view.