Who is Welcome at the Table of the Lord?

I have recently been doing some historical research into the concept of who is welcome to partake of the table of the Lord at communion after the topic came up at our last elder's meeting.  I was surprised that there are actually three defensible positions that exist in the church.  From most liberal to most strict they are as follows (and I simplify their positions for the sake of presentation because there are nuances to each of them).  Open communion allows anyone in the service who is saved to partake of communion.  Some churches say that those who love Jesus are welcome, or even just those that are seeking God may come.  Using this definition even sincere unbelievers can be included in the table.  Close communion is a middle ground, and restricts communion to those that are saved and baptized, and who are of "like faith and practice", meaning you believe the same things and practice your spirituality in roughly the same way.  In theory a Lutheran could probably come to an Episcopal table, but it is unlikely that a Baptist would (sacramental view versus ordinance).  Closed communion restricts the table to those that are saved, baptized and members in good standing of the local congregation or denomination, period.  So which is right?  Or as it was broached at the elder's meeting, which one is the correct "bible" position?  In theory that sounds good, but in practice it's not so easy to decide since parts of the church hold each of the positions and can defend their practice with Chapter and Verse.

I have practiced my Christianity under each of the three and what I am going to offer now is my own opinion based not on bible verses or even historic church practices, but on what seems to fit the Jesus that I know best.  I know that this may be grounds for immediate dismissal, condemnation for making God in my image and likeness and synthesizing my religion into what works for me.  But sometimes, just sometimes, the old formula "What would Jesus do" works better for me than dogma or doctrine.  And I think that what Jesus would do is say "Come to me all you who are heavy laden and I will give you rest."  He would choose to eat with open and profligate sinners and tax collectors.  He would break bread saying "I am the bread of life..." while giving it to any that had their hand out.  I don't think that He would have built a fence around His table but would have invited all to taste and see that the Lord and His graciousness is indeed good.

They say we are to worship God in spirit and in truth.  I have worshiped God in truth to the detriment of all else, making every exercise of my faith a division, an exclusion, a marking out, a drawing of lines and deciding what side I am on.  For now, I choose to worship God in spirit, and given the choice between living in truth or living in love, I will err on the side of love.  I for one, am not going to be part of the communion police, deciding who is saved, who is in good standing, who is truly walking in the light.  It's the Lord's table, I will trust Him to sort it out in the end.