That is not true. Many Baptists whole-heartedly believe in free will which is the basis for Rome's theology.
The difference between adult baptism and infant baptism pales in comparison to the lie of free will and the impious denial of God's predestination of all things.
Arminianism really is the road back to Rome because it says men elect themselves by their own good works.
Just like Rome.
Arminian grace, How strange the sound!
Salvation hinged on ME
I once was lost then turned around
Was blind then chose to see
What "grace" it is that calls for choice
Out of some good within?
The part that willed to heed God's voice
Proved stronger than my sin
Through many ardent gospel pleas
I sat with heart of stone
But then some hidden good in me
Propelled me toward my home
When we've been there ten thousand years
Because of what we've done
We've no less days to sing our praise
Than when we first begun