Thank you for waiting, while I tested your website's clone on a couple of different server environments.
On the old home page, I see there are 5 different views used through the shortcodes. The main error that is shown when the preview of the old home page fails is related to the exhaustion of the allowed memory.
Here are some recommendations, which fixed this error on your website's clone and should work on your live website too:
1. I increased the allowed memory size from "768M" to "1024M".
In your website's 'wp-config.php' file, you'll find this line, which can be used to increase it:
define( 'WP_MEMORY_LIMIT', '768M' );
If changing this line doesn't work to increase the allowed PHP memory limit on the server, you may have to consult your hosting support to do this for you.
2. In the loop of all the views used on the home page, you'll find the "wpv-post-body" shortcode, that loads the same content template:
https://toolset.com/documentation/programmer-reference/views/views-shortcodes/#wpv-post-body
You can include the suppress_filters="true" attribute to this shortcode so that non-essential content filters are not applied.
Example:
[wpv-post-body view_template="post-list-card-template" suppress_filters="true"]
3. To improve the performance of the view's query, you can uncheck the option "Don't include current page in query result", from the views used on the homepage.
( example screenshot: hidden link )
I hope these recommendations will work and let me know how it goes.