Looks like others noticed the strange handshakes and overall strange behaviour too.
Trump's STRANGE & CODED Handshake with President of France
Trumps & Macron share some VERY weird handshakes and interactions! WHAT is going on here because this is not normal. Trump is talking in code here and is putting out a message to those who can decipher it. - In2ThinAir.
Related links: Secret Masonic Handshakes, Passwords, Signs and Grips for the Entered Apprentice, Fellow Craft and Master Mason Degrees of Blue Lodge Freemasonry
What Is A Masonic Handshake - Esoteric Freemasons