Should I Literally Believe in Noah's Ark?
There is no reason not to believe it. The same with creation. When you look into what is called modern "science" you find that most people understand that if you want funding or to get your post graduate degree, you better follow the party line. What is called "science" today is not so much a search for truth, but employment based on conformity.
Before the flood people lived longer. Presuming animals did as well, and since unlike mammals reptiles get bigger the longer they live, it would not be surprising that the fossils of some reptiles are very large. After the flood people were given permission to eat meat. One might assume that the mastodon was a little slower than the elephant.
It is easy to understand why many people buckle under secular bullying. Secularists use their control of universities and media as a powerful assault on Christians. However, the thrust of their argument is the sheer number of people who support their ideas. It can be helpful to think of secularism as a competing religion (the worship of man in general and self in particular).
God gives wisdom to all who ask. God is truth and His word is truth. Your prayer life should include requests for wisdom and to be given discernment so that you can grow in truth.
Real truth is not so much a matter of exposing the schemes of Satan or the deceptions he has placed in the world. Real truth hits closer to home. It exposes our own sinfulness and shame and brings us to our knees as we can only be humbled by truth. It is this point that brings us closer to our Savior.
Satan even uses truth against us. He often gets us preoccupied with the sins of others or the wrongs in the world rather than seeing the wrong in ourselves.
As we abide (live) in the words of Jesus, we become His disciples and we know the truth and the truth sets us free. It is only when we grow in truth that the deceptions of the world lose their hold on us. Those who follow what is false will bury you and entangle you with their endless speculations, accusations, and declarations if you try to argue for what is true. Only those who are of the truth will respond to truth. The closer you draw to Jesus (who is truth) the more you recognize his "voice" and can walk in truth.