Great answers! I love Euphemia's and LS's responses.. For me, they were spot on!
First, I try to remind myself that the anchor of my faith is in Jesus Christ.. Nothing else.. Everything else could be shaken.. For example, my will power, my abilities, my intellectual, etc.. But when the anchor is in Jesus Christ, it cannot be shaken.. The enemy will try to make us rely on our strength than His. Because once we start putting our trust somewhere else, he can shake us quite easily..
Second, we would learn to trust God more and more only when we get to know Him more and more. That is why Bible uses the word "seek" so much. We have to seek His face, seek His righteousness and so on.. And we can learn more about God only through his word.. And only Holy Spirit can shed light on His word to reveal it to us..
When these 2 things fall in place, we will be a better witness for Jesus and can withstand persecution..
1 Peter talks a great deal about withstanding persecution.. I think we can learn plenty from there as well.. That would give a whole different look on how we should look at persecution..