Kittyhawk, the block plane you show is a copy of a Stanley #102. To be quite blunt, it does not get much worse! There is hardly any support for the blade (which is the biggest factor causing your chatter). That lever cap needs to be cranked down. The blade must be sharp (of course). And you need to set it for fine shavings.
It can be done.
The plane is essentially the same as my "Orange Block Plane", about which I wrote this review many years ago. Read it. It's fun
http://www.inthewoodshop.com/ToolReviews/The Orange Block Plane.html
Regards from Perth
Derek
I think it's more similar to a 120 block plane. Both 102 and 120 planes are "proper" planes with a cast body, whereas the orange one has thin folded sheet steel for the body, no cross pin and no bed