Outta curiosity... Is your meaning, by this statement, that you're a Baptist?
If so, then your heritage descends from one of two sources.
There is indeed a venerable Non-Romanist heritage -- of absolute predestinarians -- stretching back through the Centuries; just as there (was) a venerable heritage of absolute predestinarians even within Rome (at one time).
However, there is no such Non-Romanist heritage of Anti-Predestinarians whatsoever.
OP, proof. Arminius was not a Roman Catholic.
The issue of Predestination did not even begin until the 4th century with Augustine!
The Eastern Churches never held it!
Concerning Free Will and Predestination by St. John of Damascus (8th cent.) From his Exact Exposition of the Orthodox Faith, Book II, Chs. 25-30 http://www.orthodoxinfo.com/inquirers/exact_freewill.htm
This is from Schaff, History of the Christian Church
The Augustinian system was unknown in the ante-Nicene age, and was never accepted in the Eastern Church. This is a strong historical argument against it. Augustin himself developed it only during the Pelagian controversy; while in his earlier writings he taught the freedom of the human will against the fatalism of the Manichaeans.816 It triumphed in the Latin Church over Pelagianism and Semi-Pelagianism, which were mildly condemned by the Synod of Orange (529). But his doctrine of an absolute predestination, which is only a legitimate inference from his anthropological premises, was indirectly condemned by the Catholic Church in the Gottschalk controversy (853), and in the Jansenist controversy (1653), although the name and authority of the great doctor and saint were not touched.
http://www.ccel.org/s/schaff/history/8_ch14.htm