Indeed, but with some serious differences from the baptist model.
1 - the Holy Spirit is raptured out of the earth along with the believers. That is what stops restraining the antichrist so he can come to the fore. But it also means that no one can be saved PERIOD. And no one can die (or at least not those who WANT to die)
So the whole "Left Behind" idea of christians living in the Tribulation makes no sense to the Pentecostal model. Go watch the movie "A Thief in the Night."
It uses Larry Norman's song "I Wish We'd All Been Ready" in the soundtrack. He attended Smiths original congregation and had the lyric:
"There's no time to change your mind, the Son has come and you've been left behind."
There will be people who saved during the time of the tribulation. It will be harder to do and harder to accept the Gospel because of the way the people will be fooled, even the elect. Most though will be in Israel, because the tribulation is mainly for them. Everyone will be affected, of course, but it's mainly against Israel, to show them who the Messiah truly is.
The reason I say this is because of the 144, 000 that come out of Israel, they will be pure and they will preach the Gospel to everyone. Now, the bible is silent on whether or not the holy spirit is there to do His convicting work. I believe and I could be wrong of course, that he will be there. Because He is the one that convicts, not the 144,000. Just like today. We go and preach the Gospel, the Holy Spirit draws them to God, through conviction, using the law and grace. Grace to the humble and law to the rebellious.
Also, the Holy Spirit, is just that, a Spirit. He has no human form, He has human attributes though, He grieves, He get's angry, even to the point of taking peoples lives, like he did Ananias and Sephria, for lying to Him. He moans in the Spirit for us when we just can't get out the right words to God. He comforts and educates us. And he brings into remembrance God's Word. Again, I could be wrong about during the trib. But He has no body, so therefore cannot be raptured, physically. Can God remove Him, Yes he can. Does He?, I'm not sure. Have seen no scripture to say he does or doesn't.
I agree that the church is no longer around. And when the church is raptured, then there will be no one to lay down the prayers and to go about doing the work of the Father to keep Satan at bay. Once the church goes, hells gates open and we think it's bad now...it will be worse then.
There will be people martyred during that time, people who have committed themselves to Christ and have spread the gospel with the threat of death lingering upon them. Many will die in His Name, trying to get the message out.
In revelations, these are the saints that are under the throne, they are the ones crying out to God for vengeance against those who slew their brethren who were martyred.
God in his infinite mercy, even at this time will want to see people saved. He will always make a way for salvation.
He did it in the time of Noah, he took His time and while Noah built the ark, Noah was still trying to convince those that didn't believe that there was a way of salvation.
He did it with Sodom and Gomorrah, by giving in to the there being only 10 ppl who served him in the cities.
Every time God came down with his wrath and judgment, He made a way for salvation. I don't' believe He will change that, even during the trib.
He will do this until the final end...Judgment day...after the millennial...On that day, His mercy ends. Unless people die in their sins, before, then His mercy is over for those people at that time.
I don't intend on being here for the trib. I believe I won't be. So that's why I try to spread the Gospel now, prayerfully hoping that the Holy Spirit convicts and brings others to God and they do it. So they won't be left behind.