They should. I mean I've been to Methodist, United Methodist, First Baptist, New Evangelical, and even a couple Catholic Mass; and all denominational Churches have a Pastor who gives a sermon on some subject he usually pulls out of a hat every week.
In the Church I go to (which is part of a fellowship of Churches across the country), the Pastor doesn't give a sermon on a subject; instead he teaches the bible, book-by-book, chapter-by-chapter, verse-by-verse starting in Genesis and ending in Revelation. Right now the Sunday services are in John and the Wednesday night services are almost through Exodus.
So instead of pulling a subject out of thin air each week and coming out and saying "Today's sermon is on [insert subject here]", he comes out and says "Today we're in [Book, Chapter, Verse]".
They use the inductive study method:
1. What the verse says.
2. What the verse means.
3. The CONTEXT, which is one of the most important parts where misunderstanding of verse context can create different denominations including Catholicism (see below for an example).
4. Other translations. Often a word will appear that shows up one way in NKJV, when the original Greek or Hebrew word has multiple meanings and they'll point it out like "In this translation the word is [word], the original Greek/Hebrew word for this is [this] and it can mean [this] or [this].
An example of using the correct context in a verse would be Matthew 16 beginning in verse 13, which is where the Catholics got the idea that Peter was the first Pope and Christ's Church due to Peter being called Cephus (or rock) many times in the gospels. But the Catholics at the time didn't really understand the context of the exchange.
13 When Jesus came into the region of Caesarea Philippi, He asked His disciples, saying, Who do men say that I, the Son of Man, am?
14 So they said, Some say John the Baptist, some Elijah, and others Jeremiah or one of the prophets.
15 He said to them, But who do you say that I am?
16 Simon Peter answered and said, You are the Christ, the Son of the living God.
17 Jesus answered and said to him, Blessed are you, Simon Bar-Jonah, for flesh and blood has not revealed this to you, but My Father who is in heaven. 18 And I also say to you that you are Peter, and on this rock I will build My church, and the gates of Hades shall not prevail against it.
This is where Jesus and his disciples were standing:
To the right of that image you may be able to see little indentations in the ROCK. At that time people would put statues of their gods in those little holes, so when Jesus asked his disciples Who do men say that I, the Son of Man, am? he was looking at these to see what his disciples would say. The rock that Jesus would build his Church was literally "this rock" that they were standing on; not Peter.