Jewish Dietary Laws

Hello! I read on chabad.org that one needs to wait six hours after having meat to have dairy because bits of meat can be stuck in between the teeth or that the taste of the meat is still in the mouth. If that is the case, what if I just brush my teeth right after and use mouthwash to rinse out my mouth to get rid of the taste/bits of meat? Wouldn't that solve it since there will be no more remnants? Also, why do we not wait between dairy and meat if either way the dairy food will still be in the stomach when having meat (as in, I had macaroni and cheese and now want a hot dog)? They did mention its best to wait around 30min-1hour after having dairy but why isn't it six hours like meat before dairy?

If a Jew eats any unclean animal or any foods forbidden in Torah for a Jew to eat, does it make the person who eats it ritually impure or unclean?

If I need to separate into different sinks and dish washers between milk and meat, why would I not have to separate washing machines? Meaning, if I have a tablecloth that had spilled a meat dish on it, and I go and wash it, and then a day later I have a tablecloth with milk spilled on it and I come to wash it, is this not the same thing as the sink/dish washer? How do we paskin between the sink/dish washer and the clothes washing machine?

It seems strange that we have to go through unusual measures to search for bugs in our fruits and vegetables. Some fruits/vegetables are not permitted at all, some we can only eat if an expert examined them and certified them kosher, and others I can eat if I use a thrip cloth, light box, etc. Is this something new? (Did the Rambam eat fruits and vegetables? He didn't own a light box.) Or have some groups within the Jewish community taken this to an extreme level and these restrictions are not totally necessary? Thank you.