Good luck targeting someone who can be at multiple places at the same time. That guy operates in eleven dimensions.

hah! The 1993 documentary The Nightmare Before Christmas already conclusively proved that Santa can't even evade regular ol' flak

When the missile is about to strike Santa's sleigh he opens his bag of tricks and inside it goes into an extra dimensional space. Then later he gives a nice missile, refueled and deactivated with a bow on it, to a Ukrainian artillerist who's been good this year.

Especially when their job is to rush at the enemy and explode themselves.

Also the calculated speeds, to be able to deliver presents all over the world on a single night are enormous. And with amazing maneuverability, too!!

The Patriot system uses radar guidance. Radars can easily spots individual birds. A sixpack of reindeer, a sled, and one fat ass riding it should lit up like a chrismas tree for the radar.

However, according to the picture, OP only has the missiles, but no radar to guide them. In other words: he has dead weight that can't hit shit.

i don't think a sleigh and some reindeer gives off enough heat

You're forgetting about Rudolph: https://www.noradsanta.org/en/noradhq

According to NORAD, Rudolph's nose emits in a similar part of the IR spectrum as conventional missiles.