Does House of Saud intend to destroy Mohammed’s tomb?

It could happen: 
Saudi Arabia's proposal to destroy Prophet Mohammed’s tomb and move remains to anonymous grave risks new Muslim division

Al-Nabawi mosque around the tomb has been expanded by generations of Arabian rulers, particularly the Ottomans. It includes hand-painted calligraphy documenting details of the Prophet’s life and his family. Dr Alawi said the plans also call for these to be destroyed as well as the Green Dome which covers the Prophet’s tomb. The Prophet is venerated by both branches of Islam, Sunni and Shia. The strict Wahhabi sect is a branch of the Sunni faith, however, and removing the Prophet could further inflame tensions between the two groups. ... It was previously revealed how the multibillion-pound expansion of the Grand Mosque has, according to the Washington-based Gulf Institute, led to the destruction of up to 95 per cent of Mecca’s millennium-old buildings. They have been replaced with luxury  hotels, apartments and  shopping malls.

The decision is still pending. 

Related:

Mecca for the rich: Islam's holiest site 'turning into Vegas'

Over the past 10 years the holiest site in Islam has undergone a huge transformation, one that has divided opinion among Muslims all over the world. Once a dusty desert town struggling to cope with the ever-increasing number of pilgrims arriving for the annual Hajj, the city now soars above its surroundings with a glittering array of skyscrapers, shopping malls and luxury hotels.

Osama bin Laden's principal complaint was that the Saudi ruling family was utterly corrupted and apostate from "true" Islam. Hence, one of his goals was the downfall of the House of Saud and replacing it with faithful Muslim rulers. In his 1996 fatwa, bin Laden said of the House of Saud: 

The latest and the greatest of these aggressions, incurred by the Muslims since the death of the Prophet (Allah's blessing and salutations on him) is the occupation of the land of the two Holy Places - the foundation of the house of Islam, the place of the revelation, the source of the message and the place of the noble Ka'ba, the Qiblah of all Muslims - by the armies of the American Crusaders and their allies. . . .

From here, today we begin the work, talking and discussing the ways of correcting what had happened to the Islamic world in general, and the Land of the two Holy Places in particular. . . .

But the competition between influential [Saudi] princes for personal gains and interest had destroyed the country. Through its course of actions the regime has torn off its legitimacy:

(1) Suspension of the Islamic Shari'ah law and exchanging it with man made civil law. . . .

(2) The inability of the regime to protect the country, and allowing the enemy of the Ummah - the American crusader forces- to occupy the land for the longest of years. . . .

There followed a long list of grievances against the Saudi regime, particularly emphasizing its un-Islamic rule, the wealth-corruption of its princes and accusing it of being a puppet of the USA.