Here are links (plural) to Saudi beheadings for your perusal and appreciation.

I view actual modern beheadings by Muslims and their governments as more serious than Old Testament text.

You clearly have a different opinion.

https://www.bing.com/search?q=saudi+beheadings+youtube&form=EDGEAR&qs=PF&cvid=9c3569aecbac49f6a961b5b45066c506&cc=US&setlang=en-US&elv=AXXfrEiqqD9r3GuelwApulrCjEnroBpcDNfOXxV46efrD5msxFQ%21g6ZdOWIZ%21VfL%21LZmKQBsvwTp9ONzhy2C6VnRdv2gFVGkUN6ODZyiLV%21Z

If you want just homosexual beheadings, here is that link:

Iran, ISIS, Saudi Arabia.  

Of course ISIS follows a more strict version of Islam and throws homosexuals off buildings as well as or instead of beheading.  

https://www.bing.com/search?q=homosexual+beheading&qs=PF&cvid=bc74fbd359e641098c2b64ec16fea780&cc=US&setlang=en-US&elv=AXXfrEiqqD9r3GuelwApulrCjEnroBpcDNfOXxV46efrWpplUCThFtU73rHJy6ZdMVV81x5kFGPvIWOSVTBeiK9PwN48mlQJ5GORCv6KbNib&first=11&FORM=PORE