Who told you that ? Everyone has the right to enter, but you must be pure and clean, as it is a place that only those who are purified can enter. Then there are thousands of ways that you can learn about Islam in its true form before entering the mosque.

Of course, hope will help you. Ask any Muslim what you want to learn. You can visit the mosque and the sheikh will not mind teaching you. Just ask him with respect and politeness. Here you will find everyone to help you learn, even me, in the Hebrew language

You can learn it everywhere, so don't insist in mosque

Why are you writing in Arabic then?

If they dont let you to the mosques , they are not muslimes , ufyou wanna to learn evreything about anything use your mobile and your internet ,its that simple$

Internet

If you really want to know about islam you can watch videos on youtube,and if you want you can ask any one in alaqsa mosque, and you will be welcome. There are many zoom meetings about islam, and islamic doctrine.

If your intention is learning if any any one stops you you could just tell him that you want knowledge
Im pretty sure that no one will refuse to help you then .

I don't know