Absolutely :
1) These had heard the Gospel, and had begun by receiving the Spirit by hearing with faith, but were then trying to be perfected by works of Law (Gal 3:1-5). This is why Paul says they were "deserting [God] Who calls you in the grace of Christ" (Gal 1:6) which is the same as "fallen from grace severed from Christ" (Gal 5:4)--they'd been with God but were then deserting God by means of disbelief with respect to God and belief with respect to a "persuasion" that did "not come from [God]" (ie, a false gospel).
If not, Galatians 5:7 makes no sense : "You ran well. Who hindered you from obeying the truth." "Ran" refers to faith--"I have run my race. I have kept the faith." They had formerly had faith in God, they had obeyed the truth, but they were now erring and believing in lies, and had fallen from grace.
2) As far as Paul's "confidence in the Lord", what it doesn't mean is "the Lord told me you would persevere so I have confidence". This "in the Lord" is the same as "Children, obey your parents in the Lord" and "they may marry, only in the Lord"--this refers to a spiritual position a person is in--Paul's "confidence in the Lord" means he's being supplied with confidence by grace and he is acknowledging and glorifying God for the grace--just like when he says "what I am I am by the grace of God" "I was abundant in labors above them all yet not I but the grace with me."
As for the intended effect of his statement "I am confident... you will", it's just a way of speaking encouragingly to them--"I know you did wrong, but I know it was a mistake and that you will now return to the right."
That said, from what I understand, history seems to show that the Judaizers won out--from what I've been told, no other correspondences with that church are preserved, no mention is made of them afterward, and Paul makes no travels to the Church.
3) As opposed to what many Reformed want to insist, what Galatians DOES NOT say is "justification is not by the works of the Law, therefore just believe". What is Paul's argument here? It doesn't deal with going from unregenerate to regenerate, it deals with going from imperfect to perfect--"are you now seeking to be perfected by the flesh?" (Gal 3). What this is teaching is that, even with the best of intentions, we can get "how to live before God, be sanctified, be spiritually perfected" so wrong that it is tantamount to a denial of the Gospel. Notice that when the Galatians are led away from "works of the Law" they are never led to "faith in Jesus"; rather, they are led to "serve one another through love" and "faith which works through love" and "love is the fulfillment of the entire Law". This is about "how Christians are supposed to serve God" not "how to get saved". Now, the fact that Paul describes this "after salvation" activity as "you who seek to be justified" (they are seeking "justification") is just a proof that the Reformed understanding of the term is deficient. In other words, they are not seeking to "get saved", or "go from unsaved to saved", they are seeking "perfection" and "sanctification" and "maturity"--THIS is described as "justification".
So, what does "justification" mean?
Well, we know that Romans 2 speaks of a coming judgment at which only those who do the Law will be "justified" and repaid with eternal life (he then cites the Gentile believers--they are partakers of the New Covenant, the Spirit writing God's Law on their hearts (Jer 31:31-34)--as examples of such men). "Well, doesn't Paul militate against 'works of the Law' for justification?" The problem is not that the Law is unspiritual (it is spiritual and holy and good Ro 7), the problem is that it "relies on sinful flesh" (Ro 8:3)--but we do not nullify the Law by faith (Ro 3:31), rather we "fulfill the righteous requirement of the Law" (Ro 8:4) so that we can qualify, even without knowledge of the Law (Ro 2:14), as "doers of the Law" (Ro 2:13). Galatians 6:6-10 says the same--good deeds are seeds that will yield the harvest of eternal life "in due time".
There's another, perhaps more "full-orbed", so called, view on what "justification" means--the New Pauline Perspective. It teaches that "justification" is a term which describes "belonging to the family of Israel, the nation slated to be justified, vindicated, in the sight of the nations, at the eschatological judgment".
Either way, the Reformed view is truncated, deficient, Scripturally anemic and clumsy, ignorant.