Does conservative have a different meaning in the US just as liberal? If so, maybe I should have written "right-wing republicans".

There are different kinds of conservatives. Social conservatives make up only about 30% of "right-wing republicans". Most of us are more interested in the fiscal side.

I many ways US politics is similar to some middle east countries, but it could be solved by getting rid of the two party system and adopting one like in Germany or other places where you can be represented by real liberals who actually don't dabble in social beliefs but just freedom and tax reforms.

I agree. The two party system worked pretty well when power was devolved to the lowest practical level, but at this point US states are just administrative districts, so we'd probably be better served with a multiparty parliamentary system where you can pick a national party that more closely resembles your beliefs.