Welder circuits are a different beast.
First off what kind of dryer outlet/circuit do u have- 3-wire or 4-wire? And does it connect to your main panel or a subpanel? If main panel, then neutral and ground are landed on the same buss and this is of no consequence. this all matters because U need 2 hots and a ground. 3-wire dryer circuits have 2 hots and a neutral.
Second of all, the syncrowave 200 is a beast and has a 54a input. Right up front this means that u need a 60a breaker. Welder circuits are wired based on duty cycle. The Syncro's duty cycle is 40%, so based on t630.11(a) the wire needs to be 34a rated.
All of this means your 30a dryer circuit wont work for the syncro.
On the other hand, the MM210 has upto 60% duty cycle but only 27.1a input. So the dryer circuit may work and depends on what i said earlier about how the circuit may be wired...
NEC T630.11(a)
http://m.ecmweb.com/qampa/code-qa-45
Syncrowave manual:
https://www.millerwelds.com/pdf/spec_sheets/AD4-4.pdf
MM210 manual:
http://www.millerwelds.com/om/o1325j_mil.pdf