If the prospective member is transferring in from another church, then the first thing to do is to write to that church. If it's a like-minded church and the leaders write back saying that the person has been a member in good standing, that's a very helpful sign. The guy would still have to sign up to our constitution, and be interviewed by the pastor and another elder.
If he's coming from a church which is part of a denomination that we would regard as suspect, then we run a "baptism and membership" course which is designed to ensure that the applicant is saved (so far as that is possible) and that he is happy to be in a conservative evangelical church. We require an applicant to do the course even if he has been baptized as a believer already, although we don't re-baptize, except in the case of cults or infant 'baptism.' We don't require new members to be Calvinists, but they need to understand that the Doctrines of Grace will be taught (though not aggressively) from the pulpit, and if they're not happy with that, maybe they should look at another church. We have one lady member who thinks she can speak in 'tongues.' She understands that she should not practise this in the church nor promote it among the congregation. She has caused us no problems and we are happy to have her with us. My church is also complementarian and new applicants need to accept that we do not have women preachers or elders.