More head questions

[Black-Sunshine]

I need to replace my stock 289 heads for my 641/2 stang problem is every "good deal" I run across wont fit with my headers and shock towers. I have the fordmotorsport long pipe headers. With my current heads I have approximately a 1/4" of clearence on my right shock tower so the heads I choose to replace these with can not be any wider at all!!!. Now the 351W I am told are not any wider (WRONG) 4 hours of waisted laber and a near panic attack later I had to remove the 351W heads because they are wider. Then I heard that the world heads would work just fine so instead of trying it out I called my local mustang shop who has been in business for 26 years and he said they would not fit either. So my question to you is will these heads fit directly on my car without any modification what so ever?

1968 302 V8 4V "J" Code High Compression Heads (53.5 cc Combustion Chamber) Dated 8B24 and 8B28