Think about it. If your language determines your thought entirely then the entire population of speakers of a language would all think in exactly the same way. Variation of thought exist within a language/culture. Otherwise we would not need to vote in elections, have different types of cereal or have genres or music. Relative to other languages your language influences somewhat the range of your thought.
The English grammar distinguishes singular and plural. Arabic grammar distinguishes singular, dual and plural. And Japanese grammar does not distinguish number. By being forced to think about and encode number in English and Arabic, and not needing to encode in Japanese will influence your thinking.
Japanese tend to encode plurals poorly in English as a second language. More than likely, Arabic learners of English will find it easier to produce the grammar for plurality.
Like bat-and-ball sportsmen who tend to pick up other bat-and-ball sports quickly, language learners from related languages also acquire the second language faster. In applied linguistics this is called positive transfer. It makes sense that transfer can be applied to other skills like sport as well. But this does not mean a sportsman cannot become good at a dissimilar sport. If things were (pre)determined then we will never need to try because there is only one outcome – failure. Language learning is partly nature, and partly nurture. Both are necessary. It is not either/or but and.
But history may proof that nature and nurture may be misnomers which have ultimately influenced our way of thinking all along.