Visitor: As a proof text against Calvinism:
John 6:40 For my Father’s will is that everyone who looks to the Son and believes in him shall have eternal life, and I will raise them up at the last day.”
Response: We all believe that. Calvinists also believe that anyone who looks to the Son and believes has eternal life.. But that is not where we differ. The question is are there any persons who are naturally willing to come to Christ, apart from grace?
Take a moment and look at the context of the verse you quoted. Three verses earlier Jesus declared, "all that the Father gives me will come to me." John 6:37
He says all, not some, but all the Father gives to Christ will come to faith in him.... and the giving to the Son precedes their coming to faith in him.
Likewise in the exact same passage Jesus declares, "no one can come to me unless the Father who sent me draws him." John 6:44 and "the Spirit quickens, the flesh counts for nothing...that is why I told you that no one can come to me unless the Father who sent me grants it." John 6:63, 65
So all verses together declare that no one can come to faith in Jesus unless God grants it and all whom He grants will come to faith in Him.
So yes anyone who wills may come... problem is, left to themselves, no one comes. We have a will and make choices, but only grace can change us so the we use our will aright.
No one says Jesus is Lord apart from the Holy Spirit. (1 cor 12:3)
In isolation your verse may work for you but it really only says what men OUGHT to do, but says nothing about what they are able to do. But when you look at the surrounding context we quickly discover that Jesus says no one can come unless God grants it. So I suggest your interpretation of the isolated verse needs rethinking in line with the actual context.