If you become a vegetarian for about 2 months, you will lose weight of way healthier?

No on both counts. Vegetarianism means missing out parts of your diet for various reasons, it is not for losing weight, if you did things would be wrong.

You would become less healthy because vegetarian diets are not for human animals and miss out various useful components we have eaten in harmony with nature for thousands and thousands of years.

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No. vegetarians can fat quite easily as well.
Eat lots and lots of veg will help you loose weight, maybe dry chicken and fish could also help.

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Vegetarian or Veganism isn't a 'diet'. It's not intended for weight loss. It's meant for people who don't want to eat meat or those who can't due to health issues.

You simply switch out animal protein,iron and b12 sources for plant based.

Beef becomes Beans
Pork becomes Lentils
Chicken becomes Tofu
Fish becomes Nuts and Seeds

Beans,Lentils,Tofu,Nuts and Seeds STILL contain fats,still contain things that you can find in meat products. It's just in plant form.