By 1607 Spain had colonize parts of Florida and Georgia. What if The English didn't show up in 1607 allowing The Spanish to colonize Most of the Eastern Seaboard of Modern United State. What would The U.S. be like today and how would history have been different or changed?
Interesting point of departure; both Spain and France made efforts at colonizing what became Georgia and Florida, but French efforts were defeated by the Spanish; likewise, Spanish efforts slowed and generally did not thrive because of population/settlement issues, the lack of economic resources to be developed (in comparison to the West Indies and Mexico, Central, and South America, certainly).
Setting aside the international politics, there's the issue that Georgia and Florida are always going to be sort of marginal/peripheral to the "centers" of the different European powers' empires in this period - the Spanish and French (and English and Dutch, for that matter) were much more focused on the Caribbean/West indies because of the wealth that could be realized there via plantation agrculture and slave labor. After that, the Dutch and English were focused more on what became the Mid-Atlantic and New England regions, while the French - after the West Indies - were more interested in areas farther afield than Georgia-Florida.
With that in mind, the issue really is going to be what's the pay-off for making more intensified efforts at settlement in Georgia for the Spanish; they culd certainly hold on to the region longer than they did historically, as you suggest, but unless it becomes a center for settlement like New Spain/Mexico or Peru, it's always going to be a borderland/periphery.
So depending on how things development in the next century, it could be an afterthought (basically close to Florida, historically) or it could be a something else entirely.
It's pretty wide open, if you go back that far, but at some point a Spanish "Alta Florida" or whatever is going to be a frontier with both the English/British/Americans to the north and the Cherokee and the other more "settled" tribes to the west.
Best,