... but they look like worms ...

If they looked like worms, how could you know they are caterpillars? :)
If think they clearly look like caterpillars and are caterpillars.

I cut my tree and killed all the caterpillars in behalf of my children.

I think killing insects and plants should always be the last option only, if nothing else helps.

God created man and other creatures and told man to lord over all creation ...

That's what you might believe. However, as a scientist I am convinced that all organisms living on this planet are products 'created' by that amazing process called evolution by using the two methods mutation and recombination of genes (which for example is also the reason why children differ from their parents)!

I gave my opinion, I don't like anyone to line up my beliefs.

If YOU tell me YOUR opinion (which I don't prevent you to do) of course you have to accept that I tell you also MY opinion. That's called freedom of speech and thoughts.
Here at this place people with different beliefs and cultures meet each other and should be ready to be confronted with a high diversity of opinions and point of views.

Furthermore, you are posting here in my home (my community) in which I read and comment every post whenever I feel like doing it.